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Finding the Third Proportional to 704,881.13 and 1,057,537.69

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Solution

The third proportional to 704,881.13 and 1,057,537.69 is: 1,586,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,881.13 : 1,057,537.69 = 1,057,537.69 : x
  2. Step 2: Convert to fraction form
    704,881.13/1,057,537.69 = 1,057,537.69/x
  3. Step 3: Cross multiply
    704,881.13x = 1,057,537.69 × 1,057,537.69
  4. Step 4: Simplify right side
    704,881.13x = 1,118,385,960,482.85
  5. Step 5: Solve for x
    x = 1,118,385,960,482.85/704,881.13
  6. Step 6: Final answer
    x = 1,586,630.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.