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Finding the Third Proportional to 747,058.78 and 1,583,895.09

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Solution

The third proportional to 747,058.78 and 1,583,895.09 is: 3,358,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,058.78 : 1,583,895.09 = 1,583,895.09 : x
  2. Step 2: Convert to fraction form
    747,058.78/1,583,895.09 = 1,583,895.09/x
  3. Step 3: Cross multiply
    747,058.78x = 1,583,895.09 × 1,583,895.09
  4. Step 4: Simplify right side
    747,058.78x = 2,508,723,668,005.32
  5. Step 5: Solve for x
    x = 2,508,723,668,005.32/747,058.78
  6. Step 6: Final answer
    x = 3,358,134.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.