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Finding the Third Proportional to 458,088 and 977,052

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Solution

The third proportional to 458,088 and 977,052 is: 2,083,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,088 : 977,052 = 977,052 : x
  2. Step 2: Convert to fraction form
    458,088/977,052 = 977,052/x
  3. Step 3: Cross multiply
    458,088x = 977,052 × 977,052
  4. Step 4: Simplify right side
    458,088x = 954,630,610,704
  5. Step 5: Solve for x
    x = 954,630,610,704/458,088
  6. Step 6: Final answer
    x = 2,083,945.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.