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Finding the Third Proportional to 623,958 and 912,537

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Solution

The third proportional to 623,958 and 912,537 is: 1,334,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,958 : 912,537 = 912,537 : x
  2. Step 2: Convert to fraction form
    623,958/912,537 = 912,537/x
  3. Step 3: Cross multiply
    623,958x = 912,537 × 912,537
  4. Step 4: Simplify right side
    623,958x = 832,723,776,369
  5. Step 5: Solve for x
    x = 832,723,776,369/623,958
  6. Step 6: Final answer
    x = 1,334,583.06

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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.