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Finding the Third Proportional to 684,478.88 and 1,064,053.13

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Solution

The third proportional to 684,478.88 and 1,064,053.13 is: 1,654,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,478.88 : 1,064,053.13 = 1,064,053.13 : x
  2. Step 2: Convert to fraction form
    684,478.88/1,064,053.13 = 1,064,053.13/x
  3. Step 3: Cross multiply
    684,478.88x = 1,064,053.13 × 1,064,053.13
  4. Step 4: Simplify right side
    684,478.88x = 1,132,209,052,822.27
  5. Step 5: Solve for x
    x = 1,132,209,052,822.27/684,478.88
  6. Step 6: Final answer
    x = 1,654,118.33

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Why These Related Problems?

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