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Finding the Third Proportional to 912,942 and 1,335,609

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Solution

The third proportional to 912,942 and 1,335,609 is: 1,953,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,942 : 1,335,609 = 1,335,609 : x
  2. Step 2: Convert to fraction form
    912,942/1,335,609 = 1,335,609/x
  3. Step 3: Cross multiply
    912,942x = 1,335,609 × 1,335,609
  4. Step 4: Simplify right side
    912,942x = 1,783,851,400,881
  5. Step 5: Solve for x
    x = 1,783,851,400,881/912,942
  6. Step 6: Final answer
    x = 1,953,959.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.