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Finding the Third Proportional to 2,361,642 and 4,891,320

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Solution

The third proportional to 2,361,642 and 4,891,320 is: 10,130,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,642 : 4,891,320 = 4,891,320 : x
  2. Step 2: Convert to fraction form
    2,361,642/4,891,320 = 4,891,320/x
  3. Step 3: Cross multiply
    2,361,642x = 4,891,320 × 4,891,320
  4. Step 4: Simplify right side
    2,361,642x = 23,925,011,342,400
  5. Step 5: Solve for x
    x = 23,925,011,342,400/2,361,642
  6. Step 6: Final answer
    x = 10,130,668.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.