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Finding the Third Proportional to 463,720 and 977,248

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Solution

The third proportional to 463,720 and 977,248 is: 2,059,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,720 : 977,248 = 977,248 : x
  2. Step 2: Convert to fraction form
    463,720/977,248 = 977,248/x
  3. Step 3: Cross multiply
    463,720x = 977,248 × 977,248
  4. Step 4: Simplify right side
    463,720x = 955,013,653,504
  5. Step 5: Solve for x
    x = 955,013,653,504/463,720
  6. Step 6: Final answer
    x = 2,059,461.86

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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.