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Finding the Third Proportional to 768,348 and 1,127,610

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Solution

The third proportional to 768,348 and 1,127,610 is: 1,654,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,348 : 1,127,610 = 1,127,610 : x
  2. Step 2: Convert to fraction form
    768,348/1,127,610 = 1,127,610/x
  3. Step 3: Cross multiply
    768,348x = 1,127,610 × 1,127,610
  4. Step 4: Simplify right side
    768,348x = 1,271,504,312,100
  5. Step 5: Solve for x
    x = 1,271,504,312,100/768,348
  6. Step 6: Final answer
    x = 1,654,854.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.