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Finding the Third Proportional to 613,752 and 1,312,792

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Solution

The third proportional to 613,752 and 1,312,792 is: 2,808,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,752 : 1,312,792 = 1,312,792 : x
  2. Step 2: Convert to fraction form
    613,752/1,312,792 = 1,312,792/x
  3. Step 3: Cross multiply
    613,752x = 1,312,792 × 1,312,792
  4. Step 4: Simplify right side
    613,752x = 1,723,422,835,264
  5. Step 5: Solve for x
    x = 1,723,422,835,264/613,752
  6. Step 6: Final answer
    x = 2,808,011.76

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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.