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Finding the Third Proportional to 656,110 and 1,434,764

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Solution

The third proportional to 656,110 and 1,434,764 is: 3,137,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,110 : 1,434,764 = 1,434,764 : x
  2. Step 2: Convert to fraction form
    656,110/1,434,764 = 1,434,764/x
  3. Step 3: Cross multiply
    656,110x = 1,434,764 × 1,434,764
  4. Step 4: Simplify right side
    656,110x = 2,058,547,735,696
  5. Step 5: Solve for x
    x = 2,058,547,735,696/656,110
  6. Step 6: Final answer
    x = 3,137,503.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.