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Finding the Third Proportional to 1,435,380 and 2,312,712

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Solution

The third proportional to 1,435,380 and 2,312,712 is: 3,726,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,380 : 2,312,712 = 2,312,712 : x
  2. Step 2: Convert to fraction form
    1,435,380/2,312,712 = 2,312,712/x
  3. Step 3: Cross multiply
    1,435,380x = 2,312,712 × 2,312,712
  4. Step 4: Simplify right side
    1,435,380x = 5,348,636,794,944
  5. Step 5: Solve for x
    x = 5,348,636,794,944/1,435,380
  6. Step 6: Final answer
    x = 3,726,286.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.