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Finding the Third Proportional to 760,810 and 1,177,443

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Solution

The third proportional to 760,810 and 1,177,443 is: 1,822,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,810 : 1,177,443 = 1,177,443 : x
  2. Step 2: Convert to fraction form
    760,810/1,177,443 = 1,177,443/x
  3. Step 3: Cross multiply
    760,810x = 1,177,443 × 1,177,443
  4. Step 4: Simplify right side
    760,810x = 1,386,372,018,249
  5. Step 5: Solve for x
    x = 1,386,372,018,249/760,810
  6. Step 6: Final answer
    x = 1,822,231.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.