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Finding the Third Proportional to 912,848 and 1,335,468

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Solution

The third proportional to 912,848 and 1,335,468 is: 1,953,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,848 : 1,335,468 = 1,335,468 : x
  2. Step 2: Convert to fraction form
    912,848/1,335,468 = 1,335,468/x
  3. Step 3: Cross multiply
    912,848x = 1,335,468 × 1,335,468
  4. Step 4: Simplify right side
    912,848x = 1,783,474,779,024
  5. Step 5: Solve for x
    x = 1,783,474,779,024/912,848
  6. Step 6: Final answer
    x = 1,953,747.81

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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.