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Finding the Third Proportional to 3,143,160 and 4,655,808

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Solution

The third proportional to 3,143,160 and 4,655,808 is: 6,896,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,160 : 4,655,808 = 4,655,808 : x
  2. Step 2: Convert to fraction form
    3,143,160/4,655,808 = 4,655,808/x
  3. Step 3: Cross multiply
    3,143,160x = 4,655,808 × 4,655,808
  4. Step 4: Simplify right side
    3,143,160x = 21,676,548,132,864
  5. Step 5: Solve for x
    x = 21,676,548,132,864/3,143,160
  6. Step 6: Final answer
    x = 6,896,418.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.