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Finding the Third Proportional to 912,998 and 1,419,333

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Solution

The third proportional to 912,998 and 1,419,333 is: 2,206,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,998 : 1,419,333 = 1,419,333 : x
  2. Step 2: Convert to fraction form
    912,998/1,419,333 = 1,419,333/x
  3. Step 3: Cross multiply
    912,998x = 1,419,333 × 1,419,333
  4. Step 4: Simplify right side
    912,998x = 2,014,506,164,889
  5. Step 5: Solve for x
    x = 2,014,506,164,889/912,998
  6. Step 6: Final answer
    x = 2,206,473.80

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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.