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Finding the Third Proportional to 1,092,681.56 and 1,710,347.06

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Solution

The third proportional to 1,092,681.56 and 1,710,347.06 is: 2,677,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,681.56 : 1,710,347.06 = 1,710,347.06 : x
  2. Step 2: Convert to fraction form
    1,092,681.56/1,710,347.06 = 1,710,347.06/x
  3. Step 3: Cross multiply
    1,092,681.56x = 1,710,347.06 × 1,710,347.06
  4. Step 4: Simplify right side
    1,092,681.56x = 2,925,287,074,202.38
  5. Step 5: Solve for x
    x = 2,925,287,074,202.38/1,092,681.56
  6. Step 6: Final answer
    x = 2,677,163.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.