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Finding the Third Proportional to 912,894 and 1,853,436

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Solution

The third proportional to 912,894 and 1,853,436 is: 3,763,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,894 : 1,853,436 = 1,853,436 : x
  2. Step 2: Convert to fraction form
    912,894/1,853,436 = 1,853,436/x
  3. Step 3: Cross multiply
    912,894x = 1,853,436 × 1,853,436
  4. Step 4: Simplify right side
    912,894x = 3,435,225,006,096
  5. Step 5: Solve for x
    x = 3,435,225,006,096/912,894
  6. Step 6: Final answer
    x = 3,763,005.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.