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Finding the Third Proportional to 469,324.13 and 1,005,070.78

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Solution

The third proportional to 469,324.13 and 1,005,070.78 is: 2,152,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,324.13 : 1,005,070.78 = 1,005,070.78 : x
  2. Step 2: Convert to fraction form
    469,324.13/1,005,070.78 = 1,005,070.78/x
  3. Step 3: Cross multiply
    469,324.13x = 1,005,070.78 × 1,005,070.78
  4. Step 4: Simplify right side
    469,324.13x = 1,010,167,275,322.49
  5. Step 5: Solve for x
    x = 1,010,167,275,322.49/469,324.13
  6. Step 6: Final answer
    x = 2,152,387.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.