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Finding the Third Proportional to 458,076 and 977,028

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Solution

The third proportional to 458,076 and 977,028 is: 2,083,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,076 : 977,028 = 977,028 : x
  2. Step 2: Convert to fraction form
    458,076/977,028 = 977,028/x
  3. Step 3: Cross multiply
    458,076x = 977,028 × 977,028
  4. Step 4: Simplify right side
    458,076x = 954,583,712,784
  5. Step 5: Solve for x
    x = 954,583,712,784/458,076
  6. Step 6: Final answer
    x = 2,083,898.11

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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.