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Finding the Third Proportional to 508,416 and 1,095,640

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Solution

The third proportional to 508,416 and 1,095,640 is: 2,361,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,416 : 1,095,640 = 1,095,640 : x
  2. Step 2: Convert to fraction form
    508,416/1,095,640 = 1,095,640/x
  3. Step 3: Cross multiply
    508,416x = 1,095,640 × 1,095,640
  4. Step 4: Simplify right side
    508,416x = 1,200,427,009,600
  5. Step 5: Solve for x
    x = 1,200,427,009,600/508,416
  6. Step 6: Final answer
    x = 2,361,111.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.