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Finding the Third Proportional to 1,724,130 and 3,746,700

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Solution

The third proportional to 1,724,130 and 3,746,700 is: 8,141,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,130 : 3,746,700 = 3,746,700 : x
  2. Step 2: Convert to fraction form
    1,724,130/3,746,700 = 3,746,700/x
  3. Step 3: Cross multiply
    1,724,130x = 3,746,700 × 3,746,700
  4. Step 4: Simplify right side
    1,724,130x = 14,037,760,890,000
  5. Step 5: Solve for x
    x = 14,037,760,890,000/1,724,130
  6. Step 6: Final answer
    x = 8,141,938.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.