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Finding the Third Proportional to 4,121,410 and 5,432,547

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Solution

The third proportional to 4,121,410 and 5,432,547 is: 7,160,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,410 : 5,432,547 = 5,432,547 : x
  2. Step 2: Convert to fraction form
    4,121,410/5,432,547 = 5,432,547/x
  3. Step 3: Cross multiply
    4,121,410x = 5,432,547 × 5,432,547
  4. Step 4: Simplify right side
    4,121,410x = 29,512,566,907,209
  5. Step 5: Solve for x
    x = 29,512,566,907,209/4,121,410
  6. Step 6: Final answer
    x = 7,160,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.