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Finding the Third Proportional to 631,964 and 1,352,502

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Solution

The third proportional to 631,964 and 1,352,502 is: 2,894,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,964 : 1,352,502 = 1,352,502 : x
  2. Step 2: Convert to fraction form
    631,964/1,352,502 = 1,352,502/x
  3. Step 3: Cross multiply
    631,964x = 1,352,502 × 1,352,502
  4. Step 4: Simplify right side
    631,964x = 1,829,261,660,004
  5. Step 5: Solve for x
    x = 1,829,261,660,004/631,964
  6. Step 6: Final answer
    x = 2,894,566.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.