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Finding the Third Proportional to 912,186 and 1,430,942

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Solution

The third proportional to 912,186 and 1,430,942 is: 2,244,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,186 : 1,430,942 = 1,430,942 : x
  2. Step 2: Convert to fraction form
    912,186/1,430,942 = 1,430,942/x
  3. Step 3: Cross multiply
    912,186x = 1,430,942 × 1,430,942
  4. Step 4: Simplify right side
    912,186x = 2,047,595,007,364
  5. Step 5: Solve for x
    x = 2,047,595,007,364/912,186
  6. Step 6: Final answer
    x = 2,244,712.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.