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Finding the Third Proportional to 915,988.50 and 1,265,726.25

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Solution

The third proportional to 915,988.50 and 1,265,726.25 is: 1,748,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,988.50 : 1,265,726.25 = 1,265,726.25 : x
  2. Step 2: Convert to fraction form
    915,988.50/1,265,726.25 = 1,265,726.25/x
  3. Step 3: Cross multiply
    915,988.50x = 1,265,726.25 × 1,265,726.25
  4. Step 4: Simplify right side
    915,988.50x = 1,602,062,939,939.06
  5. Step 5: Solve for x
    x = 1,602,062,939,939.06/915,988.50
  6. Step 6: Final answer
    x = 1,748,998.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.