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Finding the Third Proportional to 623,628 and 912,114

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Solution

The third proportional to 623,628 and 912,114 is: 1,334,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,628 : 912,114 = 912,114 : x
  2. Step 2: Convert to fraction form
    623,628/912,114 = 912,114/x
  3. Step 3: Cross multiply
    623,628x = 912,114 × 912,114
  4. Step 4: Simplify right side
    623,628x = 831,951,948,996
  5. Step 5: Solve for x
    x = 831,951,948,996/623,628
  6. Step 6: Final answer
    x = 1,334,051.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.