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Finding the Third Proportional to 976,545 and 2,139,282

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Solution

The third proportional to 976,545 and 2,139,282 is: 4,686,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,545 : 2,139,282 = 2,139,282 : x
  2. Step 2: Convert to fraction form
    976,545/2,139,282 = 2,139,282/x
  3. Step 3: Cross multiply
    976,545x = 2,139,282 × 2,139,282
  4. Step 4: Simplify right side
    976,545x = 4,576,527,475,524
  5. Step 5: Solve for x
    x = 4,576,527,475,524/976,545
  6. Step 6: Final answer
    x = 4,686,448.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.