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Finding the Third Proportional to 861,918 and 1,159,461

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Solution

The third proportional to 861,918 and 1,159,461 is: 1,559,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,918 : 1,159,461 = 1,159,461 : x
  2. Step 2: Convert to fraction form
    861,918/1,159,461 = 1,159,461/x
  3. Step 3: Cross multiply
    861,918x = 1,159,461 × 1,159,461
  4. Step 4: Simplify right side
    861,918x = 1,344,349,810,521
  5. Step 5: Solve for x
    x = 1,344,349,810,521/861,918
  6. Step 6: Final answer
    x = 1,559,718.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.