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Finding the Third Proportional to 540,502 and 847,871

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Solution

The third proportional to 540,502 and 847,871 is: 1,330,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,502 : 847,871 = 847,871 : x
  2. Step 2: Convert to fraction form
    540,502/847,871 = 847,871/x
  3. Step 3: Cross multiply
    540,502x = 847,871 × 847,871
  4. Step 4: Simplify right side
    540,502x = 718,885,232,641
  5. Step 5: Solve for x
    x = 718,885,232,641/540,502
  6. Step 6: Final answer
    x = 1,330,032.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.