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Finding the Third Proportional to 743,616 and 1,583,136

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Solution

The third proportional to 743,616 and 1,583,136 is: 3,370,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,616 : 1,583,136 = 1,583,136 : x
  2. Step 2: Convert to fraction form
    743,616/1,583,136 = 1,583,136/x
  3. Step 3: Cross multiply
    743,616x = 1,583,136 × 1,583,136
  4. Step 4: Simplify right side
    743,616x = 2,506,319,594,496
  5. Step 5: Solve for x
    x = 2,506,319,594,496/743,616
  6. Step 6: Final answer
    x = 3,370,448.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.