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Finding the Third Proportional to 2,506,734 and 3,818,853

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Solution

The third proportional to 2,506,734 and 3,818,853 is: 5,817,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,734 : 3,818,853 = 3,818,853 : x
  2. Step 2: Convert to fraction form
    2,506,734/3,818,853 = 3,818,853/x
  3. Step 3: Cross multiply
    2,506,734x = 3,818,853 × 3,818,853
  4. Step 4: Simplify right side
    2,506,734x = 14,583,638,235,609
  5. Step 5: Solve for x
    x = 14,583,638,235,609/2,506,734
  6. Step 6: Final answer
    x = 5,817,784.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.