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Finding the Third Proportional to 530,160 and 1,139,424

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Solution

The third proportional to 530,160 and 1,139,424 is: 2,448,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,160 : 1,139,424 = 1,139,424 : x
  2. Step 2: Convert to fraction form
    530,160/1,139,424 = 1,139,424/x
  3. Step 3: Cross multiply
    530,160x = 1,139,424 × 1,139,424
  4. Step 4: Simplify right side
    530,160x = 1,298,287,051,776
  5. Step 5: Solve for x
    x = 1,298,287,051,776/530,160
  6. Step 6: Final answer
    x = 2,448,858.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.