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Finding the Third Proportional to 655,034 and 1,041,598

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Solution

The third proportional to 655,034 and 1,041,598 is: 1,656,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,034 : 1,041,598 = 1,041,598 : x
  2. Step 2: Convert to fraction form
    655,034/1,041,598 = 1,041,598/x
  3. Step 3: Cross multiply
    655,034x = 1,041,598 × 1,041,598
  4. Step 4: Simplify right side
    655,034x = 1,084,926,393,604
  5. Step 5: Solve for x
    x = 1,084,926,393,604/655,034
  6. Step 6: Final answer
    x = 1,656,290.20

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