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Finding the Third Proportional to 931,140 and 1,487,724

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Solution

The third proportional to 931,140 and 1,487,724 is: 2,377,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,140 : 1,487,724 = 1,487,724 : x
  2. Step 2: Convert to fraction form
    931,140/1,487,724 = 1,487,724/x
  3. Step 3: Cross multiply
    931,140x = 1,487,724 × 1,487,724
  4. Step 4: Simplify right side
    931,140x = 2,213,322,700,176
  5. Step 5: Solve for x
    x = 2,213,322,700,176/931,140
  6. Step 6: Final answer
    x = 2,377,003.14

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.