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Finding the Third Proportional to 459,646,686.39 and 644,975,292.46

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Solution

The third proportional to 459,646,686.39 and 644,975,292.46 is: 905,028,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,646,686.39 : 644,975,292.46 = 644,975,292.46 : x
  2. Step 2: Convert to fraction form
    459,646,686.39/644,975,292.46 = 644,975,292.46/x
  3. Step 3: Cross multiply
    459,646,686.39x = 644,975,292.46 × 644,975,292.46
  4. Step 4: Simplify right side
    459,646,686.39x = 415,993,127,887,590,528
  5. Step 5: Solve for x
    x = 415,993,127,887,590,528/459,646,686.39
  6. Step 6: Final answer
    x = 905,028,014.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.