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Finding the Third Proportional to 912,846 and 1,335,465

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Solution

The third proportional to 912,846 and 1,335,465 is: 1,953,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,846 : 1,335,465 = 1,335,465 : x
  2. Step 2: Convert to fraction form
    912,846/1,335,465 = 1,335,465/x
  3. Step 3: Cross multiply
    912,846x = 1,335,465 × 1,335,465
  4. Step 4: Simplify right side
    912,846x = 1,783,466,766,225
  5. Step 5: Solve for x
    x = 1,783,466,766,225/912,846
  6. Step 6: Final answer
    x = 1,953,743.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.