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Finding the Third Proportional to 2,727,486 and 5,742,522

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Solution

The third proportional to 2,727,486 and 5,742,522 is: 12,090,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,486 : 5,742,522 = 5,742,522 : x
  2. Step 2: Convert to fraction form
    2,727,486/5,742,522 = 5,742,522/x
  3. Step 3: Cross multiply
    2,727,486x = 5,742,522 × 5,742,522
  4. Step 4: Simplify right side
    2,727,486x = 32,976,558,920,484
  5. Step 5: Solve for x
    x = 32,976,558,920,484/2,727,486
  6. Step 6: Final answer
    x = 12,090,459.46

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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.