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Finding the Third Proportional to 761,166 and 1,657,944

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Solution

The third proportional to 761,166 and 1,657,944 is: 3,611,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,166 : 1,657,944 = 1,657,944 : x
  2. Step 2: Convert to fraction form
    761,166/1,657,944 = 1,657,944/x
  3. Step 3: Cross multiply
    761,166x = 1,657,944 × 1,657,944
  4. Step 4: Simplify right side
    761,166x = 2,748,778,307,136
  5. Step 5: Solve for x
    x = 2,748,778,307,136/761,166
  6. Step 6: Final answer
    x = 3,611,273.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.