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Finding the Third Proportional to 450,090 and 977,458.50

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Solution

The third proportional to 450,090 and 977,458.50 is: 2,122,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,090 : 977,458.50 = 977,458.50 : x
  2. Step 2: Convert to fraction form
    450,090/977,458.50 = 977,458.50/x
  3. Step 3: Cross multiply
    450,090x = 977,458.50 × 977,458.50
  4. Step 4: Simplify right side
    450,090x = 955,425,119,222.25
  5. Step 5: Solve for x
    x = 955,425,119,222.25/450,090
  6. Step 6: Final answer
    x = 2,122,742.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.