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Finding the Third Proportional to 713,451 and 1,544,514

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Solution

The third proportional to 713,451 and 1,544,514 is: 3,343,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,451 : 1,544,514 = 1,544,514 : x
  2. Step 2: Convert to fraction form
    713,451/1,544,514 = 1,544,514/x
  3. Step 3: Cross multiply
    713,451x = 1,544,514 × 1,544,514
  4. Step 4: Simplify right side
    713,451x = 2,385,523,496,196
  5. Step 5: Solve for x
    x = 2,385,523,496,196/713,451
  6. Step 6: Final answer
    x = 3,343,640.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.