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Finding the Third Proportional to 570,429 and 1,210,828.50

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Solution

The third proportional to 570,429 and 1,210,828.50 is: 2,570,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,429 : 1,210,828.50 = 1,210,828.50 : x
  2. Step 2: Convert to fraction form
    570,429/1,210,828.50 = 1,210,828.50/x
  3. Step 3: Cross multiply
    570,429x = 1,210,828.50 × 1,210,828.50
  4. Step 4: Simplify right side
    570,429x = 1,466,105,656,412.25
  5. Step 5: Solve for x
    x = 1,466,105,656,412.25/570,429
  6. Step 6: Final answer
    x = 2,570,180.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.