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Finding the Third Proportional to 1,255,712.63 and 1,880,774.44

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Solution

The third proportional to 1,255,712.63 and 1,880,774.44 is: 2,816,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,712.63 : 1,880,774.44 = 1,880,774.44 : x
  2. Step 2: Convert to fraction form
    1,255,712.63/1,880,774.44 = 1,880,774.44/x
  3. Step 3: Cross multiply
    1,255,712.63x = 1,880,774.44 × 1,880,774.44
  4. Step 4: Simplify right side
    1,255,712.63x = 3,537,312,484,753.44
  5. Step 5: Solve for x
    x = 3,537,312,484,753.44/1,255,712.63
  6. Step 6: Final answer
    x = 2,816,976.13

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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.