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Finding the Third Proportional to 849,784 and 1,838,970

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Solution

The third proportional to 849,784 and 1,838,970 is: 3,979,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,784 : 1,838,970 = 1,838,970 : x
  2. Step 2: Convert to fraction form
    849,784/1,838,970 = 1,838,970/x
  3. Step 3: Cross multiply
    849,784x = 1,838,970 × 1,838,970
  4. Step 4: Simplify right side
    849,784x = 3,381,810,660,900
  5. Step 5: Solve for x
    x = 3,381,810,660,900/849,784
  6. Step 6: Final answer
    x = 3,979,612.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.