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Finding the Third Proportional to 760,077 and 1,641,951

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Solution

The third proportional to 760,077 and 1,641,951 is: 3,547,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,077 : 1,641,951 = 1,641,951 : x
  2. Step 2: Convert to fraction form
    760,077/1,641,951 = 1,641,951/x
  3. Step 3: Cross multiply
    760,077x = 1,641,951 × 1,641,951
  4. Step 4: Simplify right side
    760,077x = 2,696,003,086,401
  5. Step 5: Solve for x
    x = 2,696,003,086,401/760,077
  6. Step 6: Final answer
    x = 3,547,013.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.