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Finding the Third Proportional to 912,341 and 1,314,193.50

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Solution

The third proportional to 912,341 and 1,314,193.50 is: 1,893,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,341 : 1,314,193.50 = 1,314,193.50 : x
  2. Step 2: Convert to fraction form
    912,341/1,314,193.50 = 1,314,193.50/x
  3. Step 3: Cross multiply
    912,341x = 1,314,193.50 × 1,314,193.50
  4. Step 4: Simplify right side
    912,341x = 1,727,104,555,442.25
  5. Step 5: Solve for x
    x = 1,727,104,555,442.25/912,341
  6. Step 6: Final answer
    x = 1,893,047.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.