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Finding the Third Proportional to 476,970 and 1,010,784

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Solution

The third proportional to 476,970 and 1,010,784 is: 2,142,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,970 : 1,010,784 = 1,010,784 : x
  2. Step 2: Convert to fraction form
    476,970/1,010,784 = 1,010,784/x
  3. Step 3: Cross multiply
    476,970x = 1,010,784 × 1,010,784
  4. Step 4: Simplify right side
    476,970x = 1,021,684,294,656
  5. Step 5: Solve for x
    x = 1,021,684,294,656/476,970
  6. Step 6: Final answer
    x = 2,142,030.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.