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Finding the Third Proportional to 2,506,430 and 5,298,592

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Solution

The third proportional to 2,506,430 and 5,298,592 is: 11,201,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,430 : 5,298,592 = 5,298,592 : x
  2. Step 2: Convert to fraction form
    2,506,430/5,298,592 = 5,298,592/x
  3. Step 3: Cross multiply
    2,506,430x = 5,298,592 × 5,298,592
  4. Step 4: Simplify right side
    2,506,430x = 28,075,077,182,464
  5. Step 5: Solve for x
    x = 28,075,077,182,464/2,506,430
  6. Step 6: Final answer
    x = 11,201,221.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.