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Finding the Third Proportional to 940,413 and 1,371,253.50

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Solution

The third proportional to 940,413 and 1,371,253.50 is: 1,999,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,413 : 1,371,253.50 = 1,371,253.50 : x
  2. Step 2: Convert to fraction form
    940,413/1,371,253.50 = 1,371,253.50/x
  3. Step 3: Cross multiply
    940,413x = 1,371,253.50 × 1,371,253.50
  4. Step 4: Simplify right side
    940,413x = 1,880,336,161,262.25
  5. Step 5: Solve for x
    x = 1,880,336,161,262.25/940,413
  6. Step 6: Final answer
    x = 1,999,479.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.