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Finding the Third Proportional to 997,020 and 2,174,487

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Solution

The third proportional to 997,020 and 2,174,487 is: 4,742,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,020 : 2,174,487 = 2,174,487 : x
  2. Step 2: Convert to fraction form
    997,020/2,174,487 = 2,174,487/x
  3. Step 3: Cross multiply
    997,020x = 2,174,487 × 2,174,487
  4. Step 4: Simplify right side
    997,020x = 4,728,393,713,169
  5. Step 5: Solve for x
    x = 4,728,393,713,169/997,020
  6. Step 6: Final answer
    x = 4,742,526.44

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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.