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Finding the Third Proportional to 572,346 and 1,243,102.50

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Solution

The third proportional to 572,346 and 1,243,102.50 is: 2,699,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,346 : 1,243,102.50 = 1,243,102.50 : x
  2. Step 2: Convert to fraction form
    572,346/1,243,102.50 = 1,243,102.50/x
  3. Step 3: Cross multiply
    572,346x = 1,243,102.50 × 1,243,102.50
  4. Step 4: Simplify right side
    572,346x = 1,545,303,825,506.25
  5. Step 5: Solve for x
    x = 1,545,303,825,506.25/572,346
  6. Step 6: Final answer
    x = 2,699,946.93

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