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Finding the Third Proportional to 1,564,926 and 3,428,742

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Solution

The third proportional to 1,564,926 and 3,428,742 is: 7,512,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,926 : 3,428,742 = 3,428,742 : x
  2. Step 2: Convert to fraction form
    1,564,926/3,428,742 = 3,428,742/x
  3. Step 3: Cross multiply
    1,564,926x = 3,428,742 × 3,428,742
  4. Step 4: Simplify right side
    1,564,926x = 11,756,271,702,564
  5. Step 5: Solve for x
    x = 11,756,271,702,564/1,564,926
  6. Step 6: Final answer
    x = 7,512,349.91

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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.