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Finding the Third Proportional to 3,214,818 and 4,897,595.25

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Solution

The third proportional to 3,214,818 and 4,897,595.25 is: 7,461,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,818 : 4,897,595.25 = 4,897,595.25 : x
  2. Step 2: Convert to fraction form
    3,214,818/4,897,595.25 = 4,897,595.25/x
  3. Step 3: Cross multiply
    3,214,818x = 4,897,595.25 × 4,897,595.25
  4. Step 4: Simplify right side
    3,214,818x = 23,986,439,232,822.56
  5. Step 5: Solve for x
    x = 23,986,439,232,822.56/3,214,818
  6. Step 6: Final answer
    x = 7,461,212.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.