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Finding the Third Proportional to 4,602,982 and 6,904,471

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Solution

The third proportional to 4,602,982 and 6,904,471 is: 10,356,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,982 : 6,904,471 = 6,904,471 : x
  2. Step 2: Convert to fraction form
    4,602,982/6,904,471 = 6,904,471/x
  3. Step 3: Cross multiply
    4,602,982x = 6,904,471 × 6,904,471
  4. Step 4: Simplify right side
    4,602,982x = 47,671,719,789,841
  5. Step 5: Solve for x
    x = 47,671,719,789,841/4,602,982
  6. Step 6: Final answer
    x = 10,356,703.50

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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.