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Finding the Third Proportional to 527,152 and 1,243,810

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Solution

The third proportional to 527,152 and 1,243,810 is: 2,934,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,152 : 1,243,810 = 1,243,810 : x
  2. Step 2: Convert to fraction form
    527,152/1,243,810 = 1,243,810/x
  3. Step 3: Cross multiply
    527,152x = 1,243,810 × 1,243,810
  4. Step 4: Simplify right side
    527,152x = 1,547,063,316,100
  5. Step 5: Solve for x
    x = 1,547,063,316,100/527,152
  6. Step 6: Final answer
    x = 2,934,757.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.