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Finding the Third Proportional to 692,480 and 1,043,277

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Solution

The third proportional to 692,480 and 1,043,277 is: 1,571,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,480 : 1,043,277 = 1,043,277 : x
  2. Step 2: Convert to fraction form
    692,480/1,043,277 = 1,043,277/x
  3. Step 3: Cross multiply
    692,480x = 1,043,277 × 1,043,277
  4. Step 4: Simplify right side
    692,480x = 1,088,426,898,729
  5. Step 5: Solve for x
    x = 1,088,426,898,729/692,480
  6. Step 6: Final answer
    x = 1,571,780.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.