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Finding the Third Proportional to 877,292 and 1,913,232

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Solution

The third proportional to 877,292 and 1,913,232 is: 4,172,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,292 : 1,913,232 = 1,913,232 : x
  2. Step 2: Convert to fraction form
    877,292/1,913,232 = 1,913,232/x
  3. Step 3: Cross multiply
    877,292x = 1,913,232 × 1,913,232
  4. Step 4: Simplify right side
    877,292x = 3,660,456,685,824
  5. Step 5: Solve for x
    x = 3,660,456,685,824/877,292
  6. Step 6: Final answer
    x = 4,172,449.64

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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.