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Finding the Third Proportional to 830,545 and 1,262,613

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Solution

The third proportional to 830,545 and 1,262,613 is: 1,919,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,545 : 1,262,613 = 1,262,613 : x
  2. Step 2: Convert to fraction form
    830,545/1,262,613 = 1,262,613/x
  3. Step 3: Cross multiply
    830,545x = 1,262,613 × 1,262,613
  4. Step 4: Simplify right side
    830,545x = 1,594,191,587,769
  5. Step 5: Solve for x
    x = 1,594,191,587,769/830,545
  6. Step 6: Final answer
    x = 1,919,452.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.