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Finding the Third Proportional to 563,871.66 and 1,315,746

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Solution

The third proportional to 563,871.66 and 1,315,746 is: 3,070,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,871.66 : 1,315,746 = 1,315,746 : x
  2. Step 2: Convert to fraction form
    563,871.66/1,315,746 = 1,315,746/x
  3. Step 3: Cross multiply
    563,871.66x = 1,315,746 × 1,315,746
  4. Step 4: Simplify right side
    563,871.66x = 1,731,187,536,516
  5. Step 5: Solve for x
    x = 1,731,187,536,516/563,871.66
  6. Step 6: Final answer
    x = 3,070,180.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.