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Finding the Third Proportional to 1,064,593.13 and 1,596,497.91

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Solution

The third proportional to 1,064,593.13 and 1,596,497.91 is: 2,394,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,593.13 : 1,596,497.91 = 1,596,497.91 : x
  2. Step 2: Convert to fraction form
    1,064,593.13/1,596,497.91 = 1,596,497.91/x
  3. Step 3: Cross multiply
    1,064,593.13x = 1,596,497.91 × 1,596,497.91
  4. Step 4: Simplify right side
    1,064,593.13x = 2,548,805,564,660.63
  5. Step 5: Solve for x
    x = 2,548,805,564,660.63/1,064,593.13
  6. Step 6: Final answer
    x = 2,394,159.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.