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Finding the Third Proportional to 570,893 and 1,243,495

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Solution

The third proportional to 570,893 and 1,243,495 is: 2,708,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,893 : 1,243,495 = 1,243,495 : x
  2. Step 2: Convert to fraction form
    570,893/1,243,495 = 1,243,495/x
  3. Step 3: Cross multiply
    570,893x = 1,243,495 × 1,243,495
  4. Step 4: Simplify right side
    570,893x = 1,546,279,815,025
  5. Step 5: Solve for x
    x = 1,546,279,815,025/570,893
  6. Step 6: Final answer
    x = 2,708,528.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.