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Finding the Third Proportional to 1,156,908 and 1,779,342

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Solution

The third proportional to 1,156,908 and 1,779,342 is: 2,736,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,908 : 1,779,342 = 1,779,342 : x
  2. Step 2: Convert to fraction form
    1,156,908/1,779,342 = 1,779,342/x
  3. Step 3: Cross multiply
    1,156,908x = 1,779,342 × 1,779,342
  4. Step 4: Simplify right side
    1,156,908x = 3,166,057,952,964
  5. Step 5: Solve for x
    x = 3,166,057,952,964/1,156,908
  6. Step 6: Final answer
    x = 2,736,654.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.