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Finding the Third Proportional to 704,897.44 and 1,490,167.13

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Solution

The third proportional to 704,897.44 and 1,490,167.13 is: 3,150,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,897.44 : 1,490,167.13 = 1,490,167.13 : x
  2. Step 2: Convert to fraction form
    704,897.44/1,490,167.13 = 1,490,167.13/x
  3. Step 3: Cross multiply
    704,897.44x = 1,490,167.13 × 1,490,167.13
  4. Step 4: Simplify right side
    704,897.44x = 2,220,598,060,430.77
  5. Step 5: Solve for x
    x = 2,220,598,060,430.77/704,897.44
  6. Step 6: Final answer
    x = 3,150,242.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.