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Finding the Third Proportional to 1,287,426 and 1,947,709

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Solution

The third proportional to 1,287,426 and 1,947,709 is: 2,946,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,426 : 1,947,709 = 1,947,709 : x
  2. Step 2: Convert to fraction form
    1,287,426/1,947,709 = 1,947,709/x
  3. Step 3: Cross multiply
    1,287,426x = 1,947,709 × 1,947,709
  4. Step 4: Simplify right side
    1,287,426x = 3,793,570,348,681
  5. Step 5: Solve for x
    x = 3,793,570,348,681/1,287,426
  6. Step 6: Final answer
    x = 2,946,631.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.