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Finding the Third Proportional to 701,490 and 1,515,070.50

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Solution

The third proportional to 701,490 and 1,515,070.50 is: 3,272,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,490 : 1,515,070.50 = 1,515,070.50 : x
  2. Step 2: Convert to fraction form
    701,490/1,515,070.50 = 1,515,070.50/x
  3. Step 3: Cross multiply
    701,490x = 1,515,070.50 × 1,515,070.50
  4. Step 4: Simplify right side
    701,490x = 2,295,438,619,970.25
  5. Step 5: Solve for x
    x = 2,295,438,619,970.25/701,490
  6. Step 6: Final answer
    x = 3,272,232.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.