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Finding the Third Proportional to 973,386 and 2,096,534

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Solution

The third proportional to 973,386 and 2,096,534 is: 4,515,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,386 : 2,096,534 = 2,096,534 : x
  2. Step 2: Convert to fraction form
    973,386/2,096,534 = 2,096,534/x
  3. Step 3: Cross multiply
    973,386x = 2,096,534 × 2,096,534
  4. Step 4: Simplify right side
    973,386x = 4,395,454,813,156
  5. Step 5: Solve for x
    x = 4,395,454,813,156/973,386
  6. Step 6: Final answer
    x = 4,515,633.89

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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.