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Finding the Third Proportional to 973,677 and 2,118,783

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Solution

The third proportional to 973,677 and 2,118,783 is: 4,610,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,677 : 2,118,783 = 2,118,783 : x
  2. Step 2: Convert to fraction form
    973,677/2,118,783 = 2,118,783/x
  3. Step 3: Cross multiply
    973,677x = 2,118,783 × 2,118,783
  4. Step 4: Simplify right side
    973,677x = 4,489,241,401,089
  5. Step 5: Solve for x
    x = 4,489,241,401,089/973,677
  6. Step 6: Final answer
    x = 4,610,606.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.