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Finding the Third Proportional to 762,924 and 1,154,205

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Solution

The third proportional to 762,924 and 1,154,205 is: 1,746,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,924 : 1,154,205 = 1,154,205 : x
  2. Step 2: Convert to fraction form
    762,924/1,154,205 = 1,154,205/x
  3. Step 3: Cross multiply
    762,924x = 1,154,205 × 1,154,205
  4. Step 4: Simplify right side
    762,924x = 1,332,189,182,025
  5. Step 5: Solve for x
    x = 1,332,189,182,025/762,924
  6. Step 6: Final answer
    x = 1,746,162.37

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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.