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Finding the Third Proportional to 619,821 and 957,070.50

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Solution

The third proportional to 619,821 and 957,070.50 is: 1,477,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,821 : 957,070.50 = 957,070.50 : x
  2. Step 2: Convert to fraction form
    619,821/957,070.50 = 957,070.50/x
  3. Step 3: Cross multiply
    619,821x = 957,070.50 × 957,070.50
  4. Step 4: Simplify right side
    619,821x = 915,983,941,970.25
  5. Step 5: Solve for x
    x = 915,983,941,970.25/619,821
  6. Step 6: Final answer
    x = 1,477,820.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.