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Finding the Third Proportional to 1,769,312 and 2,668,587

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Solution

The third proportional to 1,769,312 and 2,668,587 is: 4,024,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,312 : 2,668,587 = 2,668,587 : x
  2. Step 2: Convert to fraction form
    1,769,312/2,668,587 = 2,668,587/x
  3. Step 3: Cross multiply
    1,769,312x = 2,668,587 × 2,668,587
  4. Step 4: Simplify right side
    1,769,312x = 7,121,356,576,569
  5. Step 5: Solve for x
    x = 7,121,356,576,569/1,769,312
  6. Step 6: Final answer
    x = 4,024,929.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.