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Finding the Third Proportional to 684,537 and 1,059,975

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Solution

The third proportional to 684,537 and 1,059,975 is: 1,641,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,537 : 1,059,975 = 1,059,975 : x
  2. Step 2: Convert to fraction form
    684,537/1,059,975 = 1,059,975/x
  3. Step 3: Cross multiply
    684,537x = 1,059,975 × 1,059,975
  4. Step 4: Simplify right side
    684,537x = 1,123,547,000,625
  5. Step 5: Solve for x
    x = 1,123,547,000,625/684,537
  6. Step 6: Final answer
    x = 1,641,323.99

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