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Finding the Third Proportional to 2,070,922 and 3,138,459

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Solution

The third proportional to 2,070,922 and 3,138,459 is: 4,756,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,922 : 3,138,459 = 3,138,459 : x
  2. Step 2: Convert to fraction form
    2,070,922/3,138,459 = 3,138,459/x
  3. Step 3: Cross multiply
    2,070,922x = 3,138,459 × 3,138,459
  4. Step 4: Simplify right side
    2,070,922x = 9,849,924,894,681
  5. Step 5: Solve for x
    x = 9,849,924,894,681/2,070,922
  6. Step 6: Final answer
    x = 4,756,299.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.