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Finding the Third Proportional to 560,776 and 1,230,118

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Solution

The third proportional to 560,776 and 1,230,118 is: 2,698,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,776 : 1,230,118 = 1,230,118 : x
  2. Step 2: Convert to fraction form
    560,776/1,230,118 = 1,230,118/x
  3. Step 3: Cross multiply
    560,776x = 1,230,118 × 1,230,118
  4. Step 4: Simplify right side
    560,776x = 1,513,190,293,924
  5. Step 5: Solve for x
    x = 1,513,190,293,924/560,776
  6. Step 6: Final answer
    x = 2,698,386.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.