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Finding the Third Proportional to 700,000 and 1,049,784

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Solution

The third proportional to 700,000 and 1,049,784 is: 1,574,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,000 : 1,049,784 = 1,049,784 : x
  2. Step 2: Convert to fraction form
    700,000/1,049,784 = 1,049,784/x
  3. Step 3: Cross multiply
    700,000x = 1,049,784 × 1,049,784
  4. Step 4: Simplify right side
    700,000x = 1,102,046,446,656
  5. Step 5: Solve for x
    x = 1,102,046,446,656/700,000
  6. Step 6: Final answer
    x = 1,574,352.07

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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.