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Finding the Third Proportional to 971,136 and 2,134,998

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Solution

The third proportional to 971,136 and 2,134,998 is: 4,693,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,136 : 2,134,998 = 2,134,998 : x
  2. Step 2: Convert to fraction form
    971,136/2,134,998 = 2,134,998/x
  3. Step 3: Cross multiply
    971,136x = 2,134,998 × 2,134,998
  4. Step 4: Simplify right side
    971,136x = 4,558,216,460,004
  5. Step 5: Solve for x
    x = 4,558,216,460,004/971,136
  6. Step 6: Final answer
    x = 4,693,695.28

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