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Finding the Third Proportional to 608,571 and 946,044

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Solution

The third proportional to 608,571 and 946,044 is: 1,470,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,571 : 946,044 = 946,044 : x
  2. Step 2: Convert to fraction form
    608,571/946,044 = 946,044/x
  3. Step 3: Cross multiply
    608,571x = 946,044 × 946,044
  4. Step 4: Simplify right side
    608,571x = 894,999,249,936
  5. Step 5: Solve for x
    x = 894,999,249,936/608,571
  6. Step 6: Final answer
    x = 1,470,657.08

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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.