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Finding the Third Proportional to 676,046 and 1,011,963

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Solution

The third proportional to 676,046 and 1,011,963 is: 1,514,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,046 : 1,011,963 = 1,011,963 : x
  2. Step 2: Convert to fraction form
    676,046/1,011,963 = 1,011,963/x
  3. Step 3: Cross multiply
    676,046x = 1,011,963 × 1,011,963
  4. Step 4: Simplify right side
    676,046x = 1,024,069,113,369
  5. Step 5: Solve for x
    x = 1,024,069,113,369/676,046
  6. Step 6: Final answer
    x = 1,514,792.06

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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.