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Finding the Third Proportional to 1,931,998 and 2,838,921

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Solution

The third proportional to 1,931,998 and 2,838,921 is: 4,171,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,998 : 2,838,921 = 2,838,921 : x
  2. Step 2: Convert to fraction form
    1,931,998/2,838,921 = 2,838,921/x
  3. Step 3: Cross multiply
    1,931,998x = 2,838,921 × 2,838,921
  4. Step 4: Simplify right side
    1,931,998x = 8,059,472,444,241
  5. Step 5: Solve for x
    x = 8,059,472,444,241/1,931,998
  6. Step 6: Final answer
    x = 4,171,573.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.