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Finding the Third Proportional to 623,618 and 912,099

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Solution

The third proportional to 623,618 and 912,099 is: 1,334,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,618 : 912,099 = 912,099 : x
  2. Step 2: Convert to fraction form
    623,618/912,099 = 912,099/x
  3. Step 3: Cross multiply
    623,618x = 912,099 × 912,099
  4. Step 4: Simplify right side
    623,618x = 831,924,585,801
  5. Step 5: Solve for x
    x = 831,924,585,801/623,618
  6. Step 6: Final answer
    x = 1,334,029.14

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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.