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Finding the Third Proportional to 692,684 and 1,036,246

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Solution

The third proportional to 692,684 and 1,036,246 is: 1,550,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,684 : 1,036,246 = 1,036,246 : x
  2. Step 2: Convert to fraction form
    692,684/1,036,246 = 1,036,246/x
  3. Step 3: Cross multiply
    692,684x = 1,036,246 × 1,036,246
  4. Step 4: Simplify right side
    692,684x = 1,073,805,772,516
  5. Step 5: Solve for x
    x = 1,073,805,772,516/692,684
  6. Step 6: Final answer
    x = 1,550,210.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.