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Finding the Third Proportional to 1,388,342.25 and 2,097,307.13

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Solution

The third proportional to 1,388,342.25 and 2,097,307.13 is: 3,168,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,342.25 : 2,097,307.13 = 2,097,307.13 : x
  2. Step 2: Convert to fraction form
    1,388,342.25/2,097,307.13 = 2,097,307.13/x
  3. Step 3: Cross multiply
    1,388,342.25x = 2,097,307.13 × 2,097,307.13
  4. Step 4: Simplify right side
    1,388,342.25x = 4,398,697,176,575.77
  5. Step 5: Solve for x
    x = 4,398,697,176,575.77/1,388,342.25
  6. Step 6: Final answer
    x = 3,168,308.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.