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Finding the Third Proportional to 913,004 and 1,419,342

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Solution

The third proportional to 913,004 and 1,419,342 is: 2,206,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,004 : 1,419,342 = 1,419,342 : x
  2. Step 2: Convert to fraction form
    913,004/1,419,342 = 1,419,342/x
  3. Step 3: Cross multiply
    913,004x = 1,419,342 × 1,419,342
  4. Step 4: Simplify right side
    913,004x = 2,014,531,712,964
  5. Step 5: Solve for x
    x = 2,014,531,712,964/913,004
  6. Step 6: Final answer
    x = 2,206,487.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.