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Finding the Third Proportional to 724,335,444 and 1,569,004,300

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Solution

The third proportional to 724,335,444 and 1,569,004,300 is: 3,398,666,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,444 : 1,569,004,300 = 1,569,004,300 : x
  2. Step 2: Convert to fraction form
    724,335,444/1,569,004,300 = 1,569,004,300/x
  3. Step 3: Cross multiply
    724,335,444x = 1,569,004,300 × 1,569,004,300
  4. Step 4: Simplify right side
    724,335,444x = 2,461,774,493,418,489,856
  5. Step 5: Solve for x
    x = 2,461,774,493,418,489,856/724,335,444
  6. Step 6: Final answer
    x = 3,398,666,341.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.