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Finding the Third Proportional to 783,862.31 and 1,145,547.56

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Solution

The third proportional to 783,862.31 and 1,145,547.56 is: 1,674,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,862.31 : 1,145,547.56 = 1,145,547.56 : x
  2. Step 2: Convert to fraction form
    783,862.31/1,145,547.56 = 1,145,547.56/x
  3. Step 3: Cross multiply
    783,862.31x = 1,145,547.56 × 1,145,547.56
  4. Step 4: Simplify right side
    783,862.31x = 1,312,279,217,949.69
  5. Step 5: Solve for x
    x = 1,312,279,217,949.69/783,862.31
  6. Step 6: Final answer
    x = 1,674,119.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.