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Finding the Third Proportional to 1,307,980.50 and 1,963,275

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Solution

The third proportional to 1,307,980.50 and 1,963,275 is: 2,946,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,980.50 : 1,963,275 = 1,963,275 : x
  2. Step 2: Convert to fraction form
    1,307,980.50/1,963,275 = 1,963,275/x
  3. Step 3: Cross multiply
    1,307,980.50x = 1,963,275 × 1,963,275
  4. Step 4: Simplify right side
    1,307,980.50x = 3,854,448,725,625
  5. Step 5: Solve for x
    x = 3,854,448,725,625/1,307,980.50
  6. Step 6: Final answer
    x = 2,946,870.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.