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Finding the Third Proportional to 541,681 and 1,153,346

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Solution

The third proportional to 541,681 and 1,153,346 is: 2,455,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,681 : 1,153,346 = 1,153,346 : x
  2. Step 2: Convert to fraction form
    541,681/1,153,346 = 1,153,346/x
  3. Step 3: Cross multiply
    541,681x = 1,153,346 × 1,153,346
  4. Step 4: Simplify right side
    541,681x = 1,330,206,995,716
  5. Step 5: Solve for x
    x = 1,330,206,995,716/541,681
  6. Step 6: Final answer
    x = 2,455,701.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.