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Finding the Third Proportional to 1,708,254 and 3,627,216

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Solution

The third proportional to 1,708,254 and 3,627,216 is: 7,701,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,254 : 3,627,216 = 3,627,216 : x
  2. Step 2: Convert to fraction form
    1,708,254/3,627,216 = 3,627,216/x
  3. Step 3: Cross multiply
    1,708,254x = 3,627,216 × 3,627,216
  4. Step 4: Simplify right side
    1,708,254x = 13,156,695,910,656
  5. Step 5: Solve for x
    x = 13,156,695,910,656/1,708,254
  6. Step 6: Final answer
    x = 7,701,838.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.