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Finding the Third Proportional to 747,072.19 and 1,121,373.28

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Solution

The third proportional to 747,072.19 and 1,121,373.28 is: 1,683,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,072.19 : 1,121,373.28 = 1,121,373.28 : x
  2. Step 2: Convert to fraction form
    747,072.19/1,121,373.28 = 1,121,373.28/x
  3. Step 3: Cross multiply
    747,072.19x = 1,121,373.28 × 1,121,373.28
  4. Step 4: Simplify right side
    747,072.19x = 1,257,478,035,901.39
  5. Step 5: Solve for x
    x = 1,257,478,035,901.39/747,072.19
  6. Step 6: Final answer
    x = 1,683,208.21

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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.