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Finding the Third Proportional to 760,581 and 1,614,456

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Solution

The third proportional to 760,581 and 1,614,456 is: 3,426,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,581 : 1,614,456 = 1,614,456 : x
  2. Step 2: Convert to fraction form
    760,581/1,614,456 = 1,614,456/x
  3. Step 3: Cross multiply
    760,581x = 1,614,456 × 1,614,456
  4. Step 4: Simplify right side
    760,581x = 2,606,468,175,936
  5. Step 5: Solve for x
    x = 2,606,468,175,936/760,581
  6. Step 6: Final answer
    x = 3,426,943.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.