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Finding the Third Proportional to 908,946 and 1,957,428

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Solution

The third proportional to 908,946 and 1,957,428 is: 4,215,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,946 : 1,957,428 = 1,957,428 : x
  2. Step 2: Convert to fraction form
    908,946/1,957,428 = 1,957,428/x
  3. Step 3: Cross multiply
    908,946x = 1,957,428 × 1,957,428
  4. Step 4: Simplify right side
    908,946x = 3,831,524,375,184
  5. Step 5: Solve for x
    x = 3,831,524,375,184/908,946
  6. Step 6: Final answer
    x = 4,215,348.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.