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Finding the Third Proportional to 1,045,355.63 and 1,598,023.69

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Solution

The third proportional to 1,045,355.63 and 1,598,023.69 is: 2,442,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,355.63 : 1,598,023.69 = 1,598,023.69 : x
  2. Step 2: Convert to fraction form
    1,045,355.63/1,598,023.69 = 1,598,023.69/x
  3. Step 3: Cross multiply
    1,045,355.63x = 1,598,023.69 × 1,598,023.69
  4. Step 4: Simplify right side
    1,045,355.63x = 2,553,679,705,811.10
  5. Step 5: Solve for x
    x = 2,553,679,705,811.10/1,045,355.63
  6. Step 6: Final answer
    x = 2,442,881.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.