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Finding the Third Proportional to 761,946 and 1,674,309

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Solution

The third proportional to 761,946 and 1,674,309 is: 3,679,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,946 : 1,674,309 = 1,674,309 : x
  2. Step 2: Convert to fraction form
    761,946/1,674,309 = 1,674,309/x
  3. Step 3: Cross multiply
    761,946x = 1,674,309 × 1,674,309
  4. Step 4: Simplify right side
    761,946x = 2,803,310,627,481
  5. Step 5: Solve for x
    x = 2,803,310,627,481/761,946
  6. Step 6: Final answer
    x = 3,679,146.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.