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Finding the Third Proportional to 713,140 and 1,566,232

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Solution

The third proportional to 713,140 and 1,566,232 is: 3,439,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,140 : 1,566,232 = 1,566,232 : x
  2. Step 2: Convert to fraction form
    713,140/1,566,232 = 1,566,232/x
  3. Step 3: Cross multiply
    713,140x = 1,566,232 × 1,566,232
  4. Step 4: Simplify right side
    713,140x = 2,453,082,677,824
  5. Step 5: Solve for x
    x = 2,453,082,677,824/713,140
  6. Step 6: Final answer
    x = 3,439,833.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.