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Finding the Third Proportional to 4,819,410 and 6,425,160

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Solution

The third proportional to 4,819,410 and 6,425,160 is: 8,565,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,410 : 6,425,160 = 6,425,160 : x
  2. Step 2: Convert to fraction form
    4,819,410/6,425,160 = 6,425,160/x
  3. Step 3: Cross multiply
    4,819,410x = 6,425,160 × 6,425,160
  4. Step 4: Simplify right side
    4,819,410x = 41,282,681,025,600
  5. Step 5: Solve for x
    x = 41,282,681,025,600/4,819,410
  6. Step 6: Final answer
    x = 8,565,920.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.