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Finding the Third Proportional to 467,009 and 1,020,541

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Solution

The third proportional to 467,009 and 1,020,541 is: 2,230,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,009 : 1,020,541 = 1,020,541 : x
  2. Step 2: Convert to fraction form
    467,009/1,020,541 = 1,020,541/x
  3. Step 3: Cross multiply
    467,009x = 1,020,541 × 1,020,541
  4. Step 4: Simplify right side
    467,009x = 1,041,503,932,681
  5. Step 5: Solve for x
    x = 1,041,503,932,681/467,009
  6. Step 6: Final answer
    x = 2,230,158.16

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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.