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Finding the Third Proportional to 760,180 and 1,637,000

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Solution

The third proportional to 760,180 and 1,637,000 is: 3,525,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,180 : 1,637,000 = 1,637,000 : x
  2. Step 2: Convert to fraction form
    760,180/1,637,000 = 1,637,000/x
  3. Step 3: Cross multiply
    760,180x = 1,637,000 × 1,637,000
  4. Step 4: Simplify right side
    760,180x = 2,679,769,000,000
  5. Step 5: Solve for x
    x = 2,679,769,000,000/760,180
  6. Step 6: Final answer
    x = 3,525,176.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.