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Finding the Third Proportional to 2,953,754 and 6,454,228

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Solution

The third proportional to 2,953,754 and 6,454,228 is: 14,103,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,754 : 6,454,228 = 6,454,228 : x
  2. Step 2: Convert to fraction form
    2,953,754/6,454,228 = 6,454,228/x
  3. Step 3: Cross multiply
    2,953,754x = 6,454,228 × 6,454,228
  4. Step 4: Simplify right side
    2,953,754x = 41,657,059,075,984
  5. Step 5: Solve for x
    x = 41,657,059,075,984/2,953,754
  6. Step 6: Final answer
    x = 14,103,090.20

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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.