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Finding the Third Proportional to 623,622 and 912,105

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Solution

The third proportional to 623,622 and 912,105 is: 1,334,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,622 : 912,105 = 912,105 : x
  2. Step 2: Convert to fraction form
    623,622/912,105 = 912,105/x
  3. Step 3: Cross multiply
    623,622x = 912,105 × 912,105
  4. Step 4: Simplify right side
    623,622x = 831,935,531,025
  5. Step 5: Solve for x
    x = 831,935,531,025/623,622
  6. Step 6: Final answer
    x = 1,334,038.14

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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.