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Finding the Third Proportional to 778,880 and 1,202,712

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Solution

The third proportional to 778,880 and 1,202,712 is: 1,857,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,880 : 1,202,712 = 1,202,712 : x
  2. Step 2: Convert to fraction form
    778,880/1,202,712 = 1,202,712/x
  3. Step 3: Cross multiply
    778,880x = 1,202,712 × 1,202,712
  4. Step 4: Simplify right side
    778,880x = 1,446,516,154,944
  5. Step 5: Solve for x
    x = 1,446,516,154,944/778,880
  6. Step 6: Final answer
    x = 1,857,174.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.