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Finding the Third Proportional to 735,696 and 1,136,664

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Solution

The third proportional to 735,696 and 1,136,664 is: 1,756,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,696 : 1,136,664 = 1,136,664 : x
  2. Step 2: Convert to fraction form
    735,696/1,136,664 = 1,136,664/x
  3. Step 3: Cross multiply
    735,696x = 1,136,664 × 1,136,664
  4. Step 4: Simplify right side
    735,696x = 1,292,005,048,896
  5. Step 5: Solve for x
    x = 1,292,005,048,896/735,696
  6. Step 6: Final answer
    x = 1,756,167.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.