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Finding the Third Proportional to 873,120 and 1,312,928

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Solution

The third proportional to 873,120 and 1,312,928 is: 1,974,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,120 : 1,312,928 = 1,312,928 : x
  2. Step 2: Convert to fraction form
    873,120/1,312,928 = 1,312,928/x
  3. Step 3: Cross multiply
    873,120x = 1,312,928 × 1,312,928
  4. Step 4: Simplify right side
    873,120x = 1,723,779,933,184
  5. Step 5: Solve for x
    x = 1,723,779,933,184/873,120
  6. Step 6: Final answer
    x = 1,974,276.08

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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.