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Finding the Third Proportional to 971,732 and 2,130,664

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Solution

The third proportional to 971,732 and 2,130,664 is: 4,671,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,732 : 2,130,664 = 2,130,664 : x
  2. Step 2: Convert to fraction form
    971,732/2,130,664 = 2,130,664/x
  3. Step 3: Cross multiply
    971,732x = 2,130,664 × 2,130,664
  4. Step 4: Simplify right side
    971,732x = 4,539,729,080,896
  5. Step 5: Solve for x
    x = 4,539,729,080,896/971,732
  6. Step 6: Final answer
    x = 4,671,791.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.