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Finding the Third Proportional to 877,276.13 and 1,285,498.13

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Solution

The third proportional to 877,276.13 and 1,285,498.13 is: 1,883,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,276.13 : 1,285,498.13 = 1,285,498.13 : x
  2. Step 2: Convert to fraction form
    877,276.13/1,285,498.13 = 1,285,498.13/x
  3. Step 3: Cross multiply
    877,276.13x = 1,285,498.13 × 1,285,498.13
  4. Step 4: Simplify right side
    877,276.13x = 1,652,505,429,378.52
  5. Step 5: Solve for x
    x = 1,652,505,429,378.52/877,276.13
  6. Step 6: Final answer
    x = 1,883,677.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.