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Finding the Third Proportional to 530,988 and 1,146,498

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Solution

The third proportional to 530,988 and 1,146,498 is: 2,475,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,988 : 1,146,498 = 1,146,498 : x
  2. Step 2: Convert to fraction form
    530,988/1,146,498 = 1,146,498/x
  3. Step 3: Cross multiply
    530,988x = 1,146,498 × 1,146,498
  4. Step 4: Simplify right side
    530,988x = 1,314,457,664,004
  5. Step 5: Solve for x
    x = 1,314,457,664,004/530,988
  6. Step 6: Final answer
    x = 2,475,494.11

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