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Finding the Third Proportional to 1,849,952 and 4,014,376

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Solution

The third proportional to 1,849,952 and 4,014,376 is: 8,711,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,952 : 4,014,376 = 4,014,376 : x
  2. Step 2: Convert to fraction form
    1,849,952/4,014,376 = 4,014,376/x
  3. Step 3: Cross multiply
    1,849,952x = 4,014,376 × 4,014,376
  4. Step 4: Simplify right side
    1,849,952x = 16,115,214,669,376
  5. Step 5: Solve for x
    x = 16,115,214,669,376/1,849,952
  6. Step 6: Final answer
    x = 8,711,152.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.