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Finding the Third Proportional to 849,120 and 1,254,240

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Solution

The third proportional to 849,120 and 1,254,240 is: 1,852,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,120 : 1,254,240 = 1,254,240 : x
  2. Step 2: Convert to fraction form
    849,120/1,254,240 = 1,254,240/x
  3. Step 3: Cross multiply
    849,120x = 1,254,240 × 1,254,240
  4. Step 4: Simplify right side
    849,120x = 1,573,117,977,600
  5. Step 5: Solve for x
    x = 1,573,117,977,600/849,120
  6. Step 6: Final answer
    x = 1,852,645.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.