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Finding the Third Proportional to 473,796 and 1,036,165.50

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Solution

The third proportional to 473,796 and 1,036,165.50 is: 2,266,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,796 : 1,036,165.50 = 1,036,165.50 : x
  2. Step 2: Convert to fraction form
    473,796/1,036,165.50 = 1,036,165.50/x
  3. Step 3: Cross multiply
    473,796x = 1,036,165.50 × 1,036,165.50
  4. Step 4: Simplify right side
    473,796x = 1,073,638,943,390.25
  5. Step 5: Solve for x
    x = 1,073,638,943,390.25/473,796
  6. Step 6: Final answer
    x = 2,266,036.32

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Why These Related Problems?

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