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Finding the Third Proportional to 463,718 and 977,246

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Solution

The third proportional to 463,718 and 977,246 is: 2,059,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,718 : 977,246 = 977,246 : x
  2. Step 2: Convert to fraction form
    463,718/977,246 = 977,246/x
  3. Step 3: Cross multiply
    463,718x = 977,246 × 977,246
  4. Step 4: Simplify right side
    463,718x = 955,009,744,516
  5. Step 5: Solve for x
    x = 955,009,744,516/463,718
  6. Step 6: Final answer
    x = 2,059,462.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.