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Finding the Third Proportional to 849,480 and 1,285,101

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Solution

The third proportional to 849,480 and 1,285,101 is: 1,944,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,480 : 1,285,101 = 1,285,101 : x
  2. Step 2: Convert to fraction form
    849,480/1,285,101 = 1,285,101/x
  3. Step 3: Cross multiply
    849,480x = 1,285,101 × 1,285,101
  4. Step 4: Simplify right side
    849,480x = 1,651,484,580,201
  5. Step 5: Solve for x
    x = 1,651,484,580,201/849,480
  6. Step 6: Final answer
    x = 1,944,112.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.