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Finding the Third Proportional to 732,921.75 and 1,121,180.06

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Solution

The third proportional to 732,921.75 and 1,121,180.06 is: 1,715,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,921.75 : 1,121,180.06 = 1,121,180.06 : x
  2. Step 2: Convert to fraction form
    732,921.75/1,121,180.06 = 1,121,180.06/x
  3. Step 3: Cross multiply
    732,921.75x = 1,121,180.06 × 1,121,180.06
  4. Step 4: Simplify right side
    732,921.75x = 1,257,044,732,547.50
  5. Step 5: Solve for x
    x = 1,257,044,732,547.50/732,921.75
  6. Step 6: Final answer
    x = 1,715,114.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.