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Finding the Third Proportional to 1,298,038 and 2,840,773

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Solution

The third proportional to 1,298,038 and 2,840,773 is: 6,217,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,038 : 2,840,773 = 2,840,773 : x
  2. Step 2: Convert to fraction form
    1,298,038/2,840,773 = 2,840,773/x
  3. Step 3: Cross multiply
    1,298,038x = 2,840,773 × 2,840,773
  4. Step 4: Simplify right side
    1,298,038x = 8,069,991,237,529
  5. Step 5: Solve for x
    x = 8,069,991,237,529/1,298,038
  6. Step 6: Final answer
    x = 6,217,068.56

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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.