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Finding the Third Proportional to 468,246.38 and 1,009,381.50

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Solution

The third proportional to 468,246.38 and 1,009,381.50 is: 2,175,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,246.38 : 1,009,381.50 = 1,009,381.50 : x
  2. Step 2: Convert to fraction form
    468,246.38/1,009,381.50 = 1,009,381.50/x
  3. Step 3: Cross multiply
    468,246.38x = 1,009,381.50 × 1,009,381.50
  4. Step 4: Simplify right side
    468,246.38x = 1,018,851,012,542.25
  5. Step 5: Solve for x
    x = 1,018,851,012,542.25/468,246.38
  6. Step 6: Final answer
    x = 2,175,886.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.