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Finding the Third Proportional to 833,142 and 1,725,360

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Solution

The third proportional to 833,142 and 1,725,360 is: 3,573,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,142 : 1,725,360 = 1,725,360 : x
  2. Step 2: Convert to fraction form
    833,142/1,725,360 = 1,725,360/x
  3. Step 3: Cross multiply
    833,142x = 1,725,360 × 1,725,360
  4. Step 4: Simplify right side
    833,142x = 2,976,867,129,600
  5. Step 5: Solve for x
    x = 2,976,867,129,600/833,142
  6. Step 6: Final answer
    x = 3,573,060.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.