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Finding the Third Proportional to 643,528 and 1,413,944

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Solution

The third proportional to 643,528 and 1,413,944 is: 3,106,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,528 : 1,413,944 = 1,413,944 : x
  2. Step 2: Convert to fraction form
    643,528/1,413,944 = 1,413,944/x
  3. Step 3: Cross multiply
    643,528x = 1,413,944 × 1,413,944
  4. Step 4: Simplify right side
    643,528x = 1,999,237,635,136
  5. Step 5: Solve for x
    x = 1,999,237,635,136/643,528
  6. Step 6: Final answer
    x = 3,106,683.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.