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Finding the Third Proportional to 630,297 and 946,066

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Solution

The third proportional to 630,297 and 946,066 is: 1,420,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,297 : 946,066 = 946,066 : x
  2. Step 2: Convert to fraction form
    630,297/946,066 = 946,066/x
  3. Step 3: Cross multiply
    630,297x = 946,066 × 946,066
  4. Step 4: Simplify right side
    630,297x = 895,040,876,356
  5. Step 5: Solve for x
    x = 895,040,876,356/630,297
  6. Step 6: Final answer
    x = 1,420,030.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.