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Finding the Third Proportional to 1,011,643 and 2,116,820

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Solution

The third proportional to 1,011,643 and 2,116,820 is: 4,429,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,643 : 2,116,820 = 2,116,820 : x
  2. Step 2: Convert to fraction form
    1,011,643/2,116,820 = 2,116,820/x
  3. Step 3: Cross multiply
    1,011,643x = 2,116,820 × 2,116,820
  4. Step 4: Simplify right side
    1,011,643x = 4,480,926,912,400
  5. Step 5: Solve for x
    x = 4,480,926,912,400/1,011,643
  6. Step 6: Final answer
    x = 4,429,355.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.