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Finding the Third Proportional to 611,202 and 1,445,157

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Solution

The third proportional to 611,202 and 1,445,157 is: 3,417,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,202 : 1,445,157 = 1,445,157 : x
  2. Step 2: Convert to fraction form
    611,202/1,445,157 = 1,445,157/x
  3. Step 3: Cross multiply
    611,202x = 1,445,157 × 1,445,157
  4. Step 4: Simplify right side
    611,202x = 2,088,478,754,649
  5. Step 5: Solve for x
    x = 2,088,478,754,649/611,202
  6. Step 6: Final answer
    x = 3,417,002.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.