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Finding the Third Proportional to 2,654,314 and 5,805,382

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Solution

The third proportional to 2,654,314 and 5,805,382 is: 12,697,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,314 : 5,805,382 = 5,805,382 : x
  2. Step 2: Convert to fraction form
    2,654,314/5,805,382 = 5,805,382/x
  3. Step 3: Cross multiply
    2,654,314x = 5,805,382 × 5,805,382
  4. Step 4: Simplify right side
    2,654,314x = 33,702,460,165,924
  5. Step 5: Solve for x
    x = 33,702,460,165,924/2,654,314
  6. Step 6: Final answer
    x = 12,697,239.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.