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Finding the Third Proportional to 997,036 and 2,174,528

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Solution

The third proportional to 997,036 and 2,174,528 is: 4,742,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,036 : 2,174,528 = 2,174,528 : x
  2. Step 2: Convert to fraction form
    997,036/2,174,528 = 2,174,528/x
  3. Step 3: Cross multiply
    997,036x = 2,174,528 × 2,174,528
  4. Step 4: Simplify right side
    997,036x = 4,728,572,022,784
  5. Step 5: Solve for x
    x = 4,728,572,022,784/997,036
  6. Step 6: Final answer
    x = 4,742,629.18

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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.