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Finding the Third Proportional to 838,983 and 1,186,024.50

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Solution

The third proportional to 838,983 and 1,186,024.50 is: 1,676,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,983 : 1,186,024.50 = 1,186,024.50 : x
  2. Step 2: Convert to fraction form
    838,983/1,186,024.50 = 1,186,024.50/x
  3. Step 3: Cross multiply
    838,983x = 1,186,024.50 × 1,186,024.50
  4. Step 4: Simplify right side
    838,983x = 1,406,654,114,600.25
  5. Step 5: Solve for x
    x = 1,406,654,114,600.25/838,983
  6. Step 6: Final answer
    x = 1,676,618.14

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.