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Finding the Third Proportional to 530,597 and 1,145,220

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Solution

The third proportional to 530,597 and 1,145,220 is: 2,471,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,597 : 1,145,220 = 1,145,220 : x
  2. Step 2: Convert to fraction form
    530,597/1,145,220 = 1,145,220/x
  3. Step 3: Cross multiply
    530,597x = 1,145,220 × 1,145,220
  4. Step 4: Simplify right side
    530,597x = 1,311,528,848,400
  5. Step 5: Solve for x
    x = 1,311,528,848,400/530,597
  6. Step 6: Final answer
    x = 2,471,798.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.