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Finding the Third Proportional to 464,886 and 1,018,210.50

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Solution

The third proportional to 464,886 and 1,018,210.50 is: 2,230,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,886 : 1,018,210.50 = 1,018,210.50 : x
  2. Step 2: Convert to fraction form
    464,886/1,018,210.50 = 1,018,210.50/x
  3. Step 3: Cross multiply
    464,886x = 1,018,210.50 × 1,018,210.50
  4. Step 4: Simplify right side
    464,886x = 1,036,752,622,310.25
  5. Step 5: Solve for x
    x = 1,036,752,622,310.25/464,886
  6. Step 6: Final answer
    x = 2,230,122.27

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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.