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Finding the Third Proportional to 1,078,380 and 1,430,946

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Solution

The third proportional to 1,078,380 and 1,430,946 is: 1,898,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,380 : 1,430,946 = 1,430,946 : x
  2. Step 2: Convert to fraction form
    1,078,380/1,430,946 = 1,430,946/x
  3. Step 3: Cross multiply
    1,078,380x = 1,430,946 × 1,430,946
  4. Step 4: Simplify right side
    1,078,380x = 2,047,606,454,916
  5. Step 5: Solve for x
    x = 2,047,606,454,916/1,078,380
  6. Step 6: Final answer
    x = 1,898,780.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.