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Finding the Third Proportional to 1,291,382 and 2,815,281.50

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Solution

The third proportional to 1,291,382 and 2,815,281.50 is: 6,137,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,382 : 2,815,281.50 = 2,815,281.50 : x
  2. Step 2: Convert to fraction form
    1,291,382/2,815,281.50 = 2,815,281.50/x
  3. Step 3: Cross multiply
    1,291,382x = 2,815,281.50 × 2,815,281.50
  4. Step 4: Simplify right side
    1,291,382x = 7,925,809,924,242.25
  5. Step 5: Solve for x
    x = 7,925,809,924,242.25/1,291,382
  6. Step 6: Final answer
    x = 6,137,463.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.