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Finding the Third Proportional to 759,776 and 1,624,960

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Solution

The third proportional to 759,776 and 1,624,960 is: 3,475,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,776 : 1,624,960 = 1,624,960 : x
  2. Step 2: Convert to fraction form
    759,776/1,624,960 = 1,624,960/x
  3. Step 3: Cross multiply
    759,776x = 1,624,960 × 1,624,960
  4. Step 4: Simplify right side
    759,776x = 2,640,495,001,600
  5. Step 5: Solve for x
    x = 2,640,495,001,600/759,776
  6. Step 6: Final answer
    x = 3,475,359.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.