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Finding the Third Proportional to 1,374,465 and 2,843,214

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Solution

The third proportional to 1,374,465 and 2,843,214 is: 5,881,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,465 : 2,843,214 = 2,843,214 : x
  2. Step 2: Convert to fraction form
    1,374,465/2,843,214 = 2,843,214/x
  3. Step 3: Cross multiply
    1,374,465x = 2,843,214 × 2,843,214
  4. Step 4: Simplify right side
    1,374,465x = 8,083,865,849,796
  5. Step 5: Solve for x
    x = 8,083,865,849,796/1,374,465
  6. Step 6: Final answer
    x = 5,881,463.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.