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Finding the Third Proportional to 620,587 and 964,894

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Solution

The third proportional to 620,587 and 964,894 is: 1,500,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,587 : 964,894 = 964,894 : x
  2. Step 2: Convert to fraction form
    620,587/964,894 = 964,894/x
  3. Step 3: Cross multiply
    620,587x = 964,894 × 964,894
  4. Step 4: Simplify right side
    620,587x = 931,020,431,236
  5. Step 5: Solve for x
    x = 931,020,431,236/620,587
  6. Step 6: Final answer
    x = 1,500,225.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.