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Finding the Third Proportional to 772,746 and 1,136,772

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Solution

The third proportional to 772,746 and 1,136,772 is: 1,672,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,746 : 1,136,772 = 1,136,772 : x
  2. Step 2: Convert to fraction form
    772,746/1,136,772 = 1,136,772/x
  3. Step 3: Cross multiply
    772,746x = 1,136,772 × 1,136,772
  4. Step 4: Simplify right side
    772,746x = 1,292,250,579,984
  5. Step 5: Solve for x
    x = 1,292,250,579,984/772,746
  6. Step 6: Final answer
    x = 1,672,283.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.