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Finding the Third Proportional to 1,312,128 and 1,961,361

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Solution

The third proportional to 1,312,128 and 1,961,361 is: 2,931,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,128 : 1,961,361 = 1,961,361 : x
  2. Step 2: Convert to fraction form
    1,312,128/1,961,361 = 1,961,361/x
  3. Step 3: Cross multiply
    1,312,128x = 1,961,361 × 1,961,361
  4. Step 4: Simplify right side
    1,312,128x = 3,846,936,972,321
  5. Step 5: Solve for x
    x = 3,846,936,972,321/1,312,128
  6. Step 6: Final answer
    x = 2,931,830.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.