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Finding the Third Proportional to 1,409,726 and 3,072,712

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Solution

The third proportional to 1,409,726 and 3,072,712 is: 6,697,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,726 : 3,072,712 = 3,072,712 : x
  2. Step 2: Convert to fraction form
    1,409,726/3,072,712 = 3,072,712/x
  3. Step 3: Cross multiply
    1,409,726x = 3,072,712 × 3,072,712
  4. Step 4: Simplify right side
    1,409,726x = 9,441,559,034,944
  5. Step 5: Solve for x
    x = 9,441,559,034,944/1,409,726
  6. Step 6: Final answer
    x = 6,697,442.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.