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Finding the Third Proportional to 3,937,346 and 6,168,459

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Solution

The third proportional to 3,937,346 and 6,168,459 is: 9,663,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937,346 : 6,168,459 = 6,168,459 : x
  2. Step 2: Convert to fraction form
    3,937,346/6,168,459 = 6,168,459/x
  3. Step 3: Cross multiply
    3,937,346x = 6,168,459 × 6,168,459
  4. Step 4: Simplify right side
    3,937,346x = 38,049,886,434,681
  5. Step 5: Solve for x
    x = 38,049,886,434,681/3,937,346
  6. Step 6: Final answer
    x = 9,663,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.