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Finding the Third Proportional to 1,257,253 and 2,713,658

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Solution

The third proportional to 1,257,253 and 2,713,658 is: 5,857,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,253 : 2,713,658 = 2,713,658 : x
  2. Step 2: Convert to fraction form
    1,257,253/2,713,658 = 2,713,658/x
  3. Step 3: Cross multiply
    1,257,253x = 2,713,658 × 2,713,658
  4. Step 4: Simplify right side
    1,257,253x = 7,363,939,740,964
  5. Step 5: Solve for x
    x = 7,363,939,740,964/1,257,253
  6. Step 6: Final answer
    x = 5,857,166.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.