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Finding the Third Proportional to 813,616 and 1,683,808

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Solution

The third proportional to 813,616 and 1,683,808 is: 3,484,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,616 : 1,683,808 = 1,683,808 : x
  2. Step 2: Convert to fraction form
    813,616/1,683,808 = 1,683,808/x
  3. Step 3: Cross multiply
    813,616x = 1,683,808 × 1,683,808
  4. Step 4: Simplify right side
    813,616x = 2,835,209,380,864
  5. Step 5: Solve for x
    x = 2,835,209,380,864/813,616
  6. Step 6: Final answer
    x = 3,484,702.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.