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Finding the Third Proportional to 575,522 and 902,854

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Solution

The third proportional to 575,522 and 902,854 is: 1,416,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,522 : 902,854 = 902,854 : x
  2. Step 2: Convert to fraction form
    575,522/902,854 = 902,854/x
  3. Step 3: Cross multiply
    575,522x = 902,854 × 902,854
  4. Step 4: Simplify right side
    575,522x = 815,145,345,316
  5. Step 5: Solve for x
    x = 815,145,345,316/575,522
  6. Step 6: Final answer
    x = 1,416,358.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.