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Finding the Third Proportional to 2,506,429.50 and 5,298,591

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Solution

The third proportional to 2,506,429.50 and 5,298,591 is: 11,201,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,429.50 : 5,298,591 = 5,298,591 : x
  2. Step 2: Convert to fraction form
    2,506,429.50/5,298,591 = 5,298,591/x
  3. Step 3: Cross multiply
    2,506,429.50x = 5,298,591 × 5,298,591
  4. Step 4: Simplify right side
    2,506,429.50x = 28,075,066,585,281
  5. Step 5: Solve for x
    x = 28,075,066,585,281/2,506,429.50
  6. Step 6: Final answer
    x = 11,201,219.34

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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.