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Finding the Third Proportional to 656,154 and 948,264

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Solution

The third proportional to 656,154 and 948,264 is: 1,370,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,154 : 948,264 = 948,264 : x
  2. Step 2: Convert to fraction form
    656,154/948,264 = 948,264/x
  3. Step 3: Cross multiply
    656,154x = 948,264 × 948,264
  4. Step 4: Simplify right side
    656,154x = 899,204,613,696
  5. Step 5: Solve for x
    x = 899,204,613,696/656,154
  6. Step 6: Final answer
    x = 1,370,417.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.