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Finding the Third Proportional to 655,024 and 1,041,586

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Solution

The third proportional to 655,024 and 1,041,586 is: 1,656,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,024 : 1,041,586 = 1,041,586 : x
  2. Step 2: Convert to fraction form
    655,024/1,041,586 = 1,041,586/x
  3. Step 3: Cross multiply
    655,024x = 1,041,586 × 1,041,586
  4. Step 4: Simplify right side
    655,024x = 1,084,901,395,396
  5. Step 5: Solve for x
    x = 1,084,901,395,396/655,024
  6. Step 6: Final answer
    x = 1,656,277.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.