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Finding the Third Proportional to 709,982 and 1,072,365

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Solution

The third proportional to 709,982 and 1,072,365 is: 1,619,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,982 : 1,072,365 = 1,072,365 : x
  2. Step 2: Convert to fraction form
    709,982/1,072,365 = 1,072,365/x
  3. Step 3: Cross multiply
    709,982x = 1,072,365 × 1,072,365
  4. Step 4: Simplify right side
    709,982x = 1,149,966,693,225
  5. Step 5: Solve for x
    x = 1,149,966,693,225/709,982
  6. Step 6: Final answer
    x = 1,619,712.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.