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Finding the Third Proportional to 747,534 and 1,130,218.50

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Solution

The third proportional to 747,534 and 1,130,218.50 is: 1,708,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,534 : 1,130,218.50 = 1,130,218.50 : x
  2. Step 2: Convert to fraction form
    747,534/1,130,218.50 = 1,130,218.50/x
  3. Step 3: Cross multiply
    747,534x = 1,130,218.50 × 1,130,218.50
  4. Step 4: Simplify right side
    747,534x = 1,277,393,857,742.25
  5. Step 5: Solve for x
    x = 1,277,393,857,742.25/747,534
  6. Step 6: Final answer
    x = 1,708,810.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.