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Finding the Third Proportional to 1,158,726 and 1,696,608

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Solution

The third proportional to 1,158,726 and 1,696,608 is: 2,484,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,726 : 1,696,608 = 1,696,608 : x
  2. Step 2: Convert to fraction form
    1,158,726/1,696,608 = 1,696,608/x
  3. Step 3: Cross multiply
    1,158,726x = 1,696,608 × 1,696,608
  4. Step 4: Simplify right side
    1,158,726x = 2,878,478,705,664
  5. Step 5: Solve for x
    x = 2,878,478,705,664/1,158,726
  6. Step 6: Final answer
    x = 2,484,175.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.