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Finding the Third Proportional to 1,045,210.50 and 2,289,600

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Solution

The third proportional to 1,045,210.50 and 2,289,600 is: 5,015,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,210.50 : 2,289,600 = 2,289,600 : x
  2. Step 2: Convert to fraction form
    1,045,210.50/2,289,600 = 2,289,600/x
  3. Step 3: Cross multiply
    1,045,210.50x = 2,289,600 × 2,289,600
  4. Step 4: Simplify right side
    1,045,210.50x = 5,242,268,160,000
  5. Step 5: Solve for x
    x = 5,242,268,160,000/1,045,210.50
  6. Step 6: Final answer
    x = 5,015,514.25

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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.