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Finding the Third Proportional to 461,146 and 972,423

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Solution

The third proportional to 461,146 and 972,423 is: 2,050,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,146 : 972,423 = 972,423 : x
  2. Step 2: Convert to fraction form
    461,146/972,423 = 972,423/x
  3. Step 3: Cross multiply
    461,146x = 972,423 × 972,423
  4. Step 4: Simplify right side
    461,146x = 945,606,490,929
  5. Step 5: Solve for x
    x = 945,606,490,929/461,146
  6. Step 6: Final answer
    x = 2,050,557.72

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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.