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Finding the Third Proportional to 1,709,864 and 2,668,312

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Solution

The third proportional to 1,709,864 and 2,668,312 is: 4,164,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,864 : 2,668,312 = 2,668,312 : x
  2. Step 2: Convert to fraction form
    1,709,864/2,668,312 = 2,668,312/x
  3. Step 3: Cross multiply
    1,709,864x = 2,668,312 × 2,668,312
  4. Step 4: Simplify right side
    1,709,864x = 7,119,888,929,344
  5. Step 5: Solve for x
    x = 7,119,888,929,344/1,709,864
  6. Step 6: Final answer
    x = 4,164,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.