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Finding the Third Proportional to 765,263 and 1,668,314

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Solution

The third proportional to 765,263 and 1,668,314 is: 3,637,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,263 : 1,668,314 = 1,668,314 : x
  2. Step 2: Convert to fraction form
    765,263/1,668,314 = 1,668,314/x
  3. Step 3: Cross multiply
    765,263x = 1,668,314 × 1,668,314
  4. Step 4: Simplify right side
    765,263x = 2,783,271,602,596
  5. Step 5: Solve for x
    x = 2,783,271,602,596/765,263
  6. Step 6: Final answer
    x = 3,637,013.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.