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Finding the Third Proportional to 760,232 and 1,203,720

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Solution

The third proportional to 760,232 and 1,203,720 is: 1,905,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,232 : 1,203,720 = 1,203,720 : x
  2. Step 2: Convert to fraction form
    760,232/1,203,720 = 1,203,720/x
  3. Step 3: Cross multiply
    760,232x = 1,203,720 × 1,203,720
  4. Step 4: Simplify right side
    760,232x = 1,448,941,838,400
  5. Step 5: Solve for x
    x = 1,448,941,838,400/760,232
  6. Step 6: Final answer
    x = 1,905,920.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.