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Finding the Third Proportional to 530,921 and 1,146,365

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Solution

The third proportional to 530,921 and 1,146,365 is: 2,475,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,921 : 1,146,365 = 1,146,365 : x
  2. Step 2: Convert to fraction form
    530,921/1,146,365 = 1,146,365/x
  3. Step 3: Cross multiply
    530,921x = 1,146,365 × 1,146,365
  4. Step 4: Simplify right side
    530,921x = 1,314,152,713,225
  5. Step 5: Solve for x
    x = 1,314,152,713,225/530,921
  6. Step 6: Final answer
    x = 2,475,232.12

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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.