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Finding the Third Proportional to 569,290 and 1,232,084

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Solution

The third proportional to 569,290 and 1,232,084 is: 2,666,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,290 : 1,232,084 = 1,232,084 : x
  2. Step 2: Convert to fraction form
    569,290/1,232,084 = 1,232,084/x
  3. Step 3: Cross multiply
    569,290x = 1,232,084 × 1,232,084
  4. Step 4: Simplify right side
    569,290x = 1,518,030,983,056
  5. Step 5: Solve for x
    x = 1,518,030,983,056/569,290
  6. Step 6: Final answer
    x = 2,666,533.72

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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.