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Finding the Third Proportional to 971,386.80 and 1,457,195.54

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Solution

The third proportional to 971,386.80 and 1,457,195.54 is: 2,185,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,386.80 : 1,457,195.54 = 1,457,195.54 : x
  2. Step 2: Convert to fraction form
    971,386.80/1,457,195.54 = 1,457,195.54/x
  3. Step 3: Cross multiply
    971,386.80x = 1,457,195.54 × 1,457,195.54
  4. Step 4: Simplify right side
    971,386.80x = 2,123,418,833,371.55
  5. Step 5: Solve for x
    x = 2,123,418,833,371.55/971,386.80
  6. Step 6: Final answer
    x = 2,185,966.31

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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.