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Finding the Third Proportional to 438,970 and 961,823.50

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Solution

The third proportional to 438,970 and 961,823.50 is: 2,107,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,970 : 961,823.50 = 961,823.50 : x
  2. Step 2: Convert to fraction form
    438,970/961,823.50 = 961,823.50/x
  3. Step 3: Cross multiply
    438,970x = 961,823.50 × 961,823.50
  4. Step 4: Simplify right side
    438,970x = 925,104,445,152.25
  5. Step 5: Solve for x
    x = 925,104,445,152.25/438,970
  6. Step 6: Final answer
    x = 2,107,443.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.