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Finding the Third Proportional to 873,097 and 1,312,895

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Solution

The third proportional to 873,097 and 1,312,895 is: 1,974,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,097 : 1,312,895 = 1,312,895 : x
  2. Step 2: Convert to fraction form
    873,097/1,312,895 = 1,312,895/x
  3. Step 3: Cross multiply
    873,097x = 1,312,895 × 1,312,895
  4. Step 4: Simplify right side
    873,097x = 1,723,693,281,025
  5. Step 5: Solve for x
    x = 1,723,693,281,025/873,097
  6. Step 6: Final answer
    x = 1,974,228.84

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Why These Related Problems?

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