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Finding the Third Proportional to 731,206 and 1,130,000

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Solution

The third proportional to 731,206 and 1,130,000 is: 1,746,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,206 : 1,130,000 = 1,130,000 : x
  2. Step 2: Convert to fraction form
    731,206/1,130,000 = 1,130,000/x
  3. Step 3: Cross multiply
    731,206x = 1,130,000 × 1,130,000
  4. Step 4: Simplify right side
    731,206x = 1,276,900,000,000
  5. Step 5: Solve for x
    x = 1,276,900,000,000/731,206
  6. Step 6: Final answer
    x = 1,746,293.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.