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Finding the Third Proportional to 676,062 and 1,011,987

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Solution

The third proportional to 676,062 and 1,011,987 is: 1,514,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,062 : 1,011,987 = 1,011,987 : x
  2. Step 2: Convert to fraction form
    676,062/1,011,987 = 1,011,987/x
  3. Step 3: Cross multiply
    676,062x = 1,011,987 × 1,011,987
  4. Step 4: Simplify right side
    676,062x = 1,024,117,688,169
  5. Step 5: Solve for x
    x = 1,024,117,688,169/676,062
  6. Step 6: Final answer
    x = 1,514,828.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.