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Finding the Third Proportional to 762,913 and 1,154,190

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Solution

The third proportional to 762,913 and 1,154,190 is: 1,746,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,913 : 1,154,190 = 1,154,190 : x
  2. Step 2: Convert to fraction form
    762,913/1,154,190 = 1,154,190/x
  3. Step 3: Cross multiply
    762,913x = 1,154,190 × 1,154,190
  4. Step 4: Simplify right side
    762,913x = 1,332,154,556,100
  5. Step 5: Solve for x
    x = 1,332,154,556,100/762,913
  6. Step 6: Final answer
    x = 1,746,142.16

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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.