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Finding the Third Proportional to 812,767.50 and 1,249,726.50

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Solution

The third proportional to 812,767.50 and 1,249,726.50 is: 1,921,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,767.50 : 1,249,726.50 = 1,249,726.50 : x
  2. Step 2: Convert to fraction form
    812,767.50/1,249,726.50 = 1,249,726.50/x
  3. Step 3: Cross multiply
    812,767.50x = 1,249,726.50 × 1,249,726.50
  4. Step 4: Simplify right side
    812,767.50x = 1,561,816,324,802.25
  5. Step 5: Solve for x
    x = 1,561,816,324,802.25/812,767.50
  6. Step 6: Final answer
    x = 1,921,602.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.