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Finding the Third Proportional to 1,626,598.34 and 3,533,209.56

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Solution

The third proportional to 1,626,598.34 and 3,533,209.56 is: 7,674,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626,598.34 : 3,533,209.56 = 3,533,209.56 : x
  2. Step 2: Convert to fraction form
    1,626,598.34/3,533,209.56 = 3,533,209.56/x
  3. Step 3: Cross multiply
    1,626,598.34x = 3,533,209.56 × 3,533,209.56
  4. Step 4: Simplify right side
    1,626,598.34x = 12,483,569,784,938.59
  5. Step 5: Solve for x
    x = 12,483,569,784,938.59/1,626,598.34
  6. Step 6: Final answer
    x = 7,674,648.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.