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Finding the Third Proportional to 872,066 and 2,036,309

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Solution

The third proportional to 872,066 and 2,036,309 is: 4,754,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,066 : 2,036,309 = 2,036,309 : x
  2. Step 2: Convert to fraction form
    872,066/2,036,309 = 2,036,309/x
  3. Step 3: Cross multiply
    872,066x = 2,036,309 × 2,036,309
  4. Step 4: Simplify right side
    872,066x = 4,146,554,343,481
  5. Step 5: Solve for x
    x = 4,146,554,343,481/872,066
  6. Step 6: Final answer
    x = 4,754,862.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.