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Finding the Third Proportional to 530,870 and 1,155,043

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Solution

The third proportional to 530,870 and 1,155,043 is: 2,513,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,870 : 1,155,043 = 1,155,043 : x
  2. Step 2: Convert to fraction form
    530,870/1,155,043 = 1,155,043/x
  3. Step 3: Cross multiply
    530,870x = 1,155,043 × 1,155,043
  4. Step 4: Simplify right side
    530,870x = 1,334,124,331,849
  5. Step 5: Solve for x
    x = 1,334,124,331,849/530,870
  6. Step 6: Final answer
    x = 2,513,090.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.