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Finding the Third Proportional to 2,952,966 and 6,315,414

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Solution

The third proportional to 2,952,966 and 6,315,414 is: 13,506,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,966 : 6,315,414 = 6,315,414 : x
  2. Step 2: Convert to fraction form
    2,952,966/6,315,414 = 6,315,414/x
  3. Step 3: Cross multiply
    2,952,966x = 6,315,414 × 6,315,414
  4. Step 4: Simplify right side
    2,952,966x = 39,884,453,991,396
  5. Step 5: Solve for x
    x = 39,884,453,991,396/2,952,966
  6. Step 6: Final answer
    x = 13,506,574.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.