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Finding the Third Proportional to 779,232 and 1,165,710

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Solution

The third proportional to 779,232 and 1,165,710 is: 1,743,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,232 : 1,165,710 = 1,165,710 : x
  2. Step 2: Convert to fraction form
    779,232/1,165,710 = 1,165,710/x
  3. Step 3: Cross multiply
    779,232x = 1,165,710 × 1,165,710
  4. Step 4: Simplify right side
    779,232x = 1,358,879,804,100
  5. Step 5: Solve for x
    x = 1,358,879,804,100/779,232
  6. Step 6: Final answer
    x = 1,743,870.64

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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.