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Finding the Third Proportional to 1,924,881.63 and 2,980,148.50

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Solution

The third proportional to 1,924,881.63 and 2,980,148.50 is: 4,613,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,881.63 : 2,980,148.50 = 2,980,148.50 : x
  2. Step 2: Convert to fraction form
    1,924,881.63/2,980,148.50 = 2,980,148.50/x
  3. Step 3: Cross multiply
    1,924,881.63x = 2,980,148.50 × 2,980,148.50
  4. Step 4: Simplify right side
    1,924,881.63x = 8,881,285,082,052.25
  5. Step 5: Solve for x
    x = 8,881,285,082,052.25/1,924,881.63
  6. Step 6: Final answer
    x = 4,613,938.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.