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Finding the Third Proportional to 477,142 and 1,029,014

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Solution

The third proportional to 477,142 and 1,029,014 is: 2,219,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,142 : 1,029,014 = 1,029,014 : x
  2. Step 2: Convert to fraction form
    477,142/1,029,014 = 1,029,014/x
  3. Step 3: Cross multiply
    477,142x = 1,029,014 × 1,029,014
  4. Step 4: Simplify right side
    477,142x = 1,058,869,812,196
  5. Step 5: Solve for x
    x = 1,058,869,812,196/477,142
  6. Step 6: Final answer
    x = 2,219,192.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.