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Finding the Third Proportional to 677,076 and 1,051,768

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Solution

The third proportional to 677,076 and 1,051,768 is: 1,633,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,076 : 1,051,768 = 1,051,768 : x
  2. Step 2: Convert to fraction form
    677,076/1,051,768 = 1,051,768/x
  3. Step 3: Cross multiply
    677,076x = 1,051,768 × 1,051,768
  4. Step 4: Simplify right side
    677,076x = 1,106,215,925,824
  5. Step 5: Solve for x
    x = 1,106,215,925,824/677,076
  6. Step 6: Final answer
    x = 1,633,813.52

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