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Finding the Third Proportional to 758,583 and 1,613,709

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Solution

The third proportional to 758,583 and 1,613,709 is: 3,432,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,583 : 1,613,709 = 1,613,709 : x
  2. Step 2: Convert to fraction form
    758,583/1,613,709 = 1,613,709/x
  3. Step 3: Cross multiply
    758,583x = 1,613,709 × 1,613,709
  4. Step 4: Simplify right side
    758,583x = 2,604,056,736,681
  5. Step 5: Solve for x
    x = 2,604,056,736,681/758,583
  6. Step 6: Final answer
    x = 3,432,790.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.