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Finding the Third Proportional to 1,478,127 and 3,177,209

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Solution

The third proportional to 1,478,127 and 3,177,209 is: 6,829,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,127 : 3,177,209 = 3,177,209 : x
  2. Step 2: Convert to fraction form
    1,478,127/3,177,209 = 3,177,209/x
  3. Step 3: Cross multiply
    1,478,127x = 3,177,209 × 3,177,209
  4. Step 4: Simplify right side
    1,478,127x = 10,094,657,029,681
  5. Step 5: Solve for x
    x = 10,094,657,029,681/1,478,127
  6. Step 6: Final answer
    x = 6,829,357.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.