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Finding the Third Proportional to 590,590 and 1,264,829

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Solution

The third proportional to 590,590 and 1,264,829 is: 2,708,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,590 : 1,264,829 = 1,264,829 : x
  2. Step 2: Convert to fraction form
    590,590/1,264,829 = 1,264,829/x
  3. Step 3: Cross multiply
    590,590x = 1,264,829 × 1,264,829
  4. Step 4: Simplify right side
    590,590x = 1,599,792,399,241
  5. Step 5: Solve for x
    x = 1,599,792,399,241/590,590
  6. Step 6: Final answer
    x = 2,708,803.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.