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Finding the Third Proportional to 942,810 and 1,459,569

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Solution

The third proportional to 942,810 and 1,459,569 is: 2,259,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,810 : 1,459,569 = 1,459,569 : x
  2. Step 2: Convert to fraction form
    942,810/1,459,569 = 1,459,569/x
  3. Step 3: Cross multiply
    942,810x = 1,459,569 × 1,459,569
  4. Step 4: Simplify right side
    942,810x = 2,130,341,665,761
  5. Step 5: Solve for x
    x = 2,130,341,665,761/942,810
  6. Step 6: Final answer
    x = 2,259,566.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.