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Finding the Third Proportional to 997,062 and 2,174,574

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Solution

The third proportional to 997,062 and 2,174,574 is: 4,742,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,062 : 2,174,574 = 2,174,574 : x
  2. Step 2: Convert to fraction form
    997,062/2,174,574 = 2,174,574/x
  3. Step 3: Cross multiply
    997,062x = 2,174,574 × 2,174,574
  4. Step 4: Simplify right side
    997,062x = 4,728,772,081,476
  5. Step 5: Solve for x
    x = 4,728,772,081,476/997,062
  6. Step 6: Final answer
    x = 4,742,706.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.