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Finding the Third Proportional to 1,457,868 and 3,155,352

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Solution

The third proportional to 1,457,868 and 3,155,352 is: 6,829,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,868 : 3,155,352 = 3,155,352 : x
  2. Step 2: Convert to fraction form
    1,457,868/3,155,352 = 3,155,352/x
  3. Step 3: Cross multiply
    1,457,868x = 3,155,352 × 3,155,352
  4. Step 4: Simplify right side
    1,457,868x = 9,956,246,243,904
  5. Step 5: Solve for x
    x = 9,956,246,243,904/1,457,868
  6. Step 6: Final answer
    x = 6,829,319.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.