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Finding the Third Proportional to 973,529 and 2,130,582

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Solution

The third proportional to 973,529 and 2,130,582 is: 4,662,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,529 : 2,130,582 = 2,130,582 : x
  2. Step 2: Convert to fraction form
    973,529/2,130,582 = 2,130,582/x
  3. Step 3: Cross multiply
    973,529x = 2,130,582 × 2,130,582
  4. Step 4: Simplify right side
    973,529x = 4,539,379,658,724
  5. Step 5: Solve for x
    x = 4,539,379,658,724/973,529
  6. Step 6: Final answer
    x = 4,662,808.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.