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Finding the Third Proportional to 1,724,136 and 3,746,709

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Solution

The third proportional to 1,724,136 and 3,746,709 is: 8,141,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,136 : 3,746,709 = 3,746,709 : x
  2. Step 2: Convert to fraction form
    1,724,136/3,746,709 = 3,746,709/x
  3. Step 3: Cross multiply
    1,724,136x = 3,746,709 × 3,746,709
  4. Step 4: Simplify right side
    1,724,136x = 14,037,828,330,681
  5. Step 5: Solve for x
    x = 14,037,828,330,681/1,724,136
  6. Step 6: Final answer
    x = 8,141,949.55

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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.