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Finding the Third Proportional to 530,698 and 1,121,297

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Solution

The third proportional to 530,698 and 1,121,297 is: 2,369,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,698 : 1,121,297 = 1,121,297 : x
  2. Step 2: Convert to fraction form
    530,698/1,121,297 = 1,121,297/x
  3. Step 3: Cross multiply
    530,698x = 1,121,297 × 1,121,297
  4. Step 4: Simplify right side
    530,698x = 1,257,306,962,209
  5. Step 5: Solve for x
    x = 1,257,306,962,209/530,698
  6. Step 6: Final answer
    x = 2,369,157.15

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