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Finding the Third Proportional to 1,776,430 and 2,564,046

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Solution

The third proportional to 1,776,430 and 2,564,046 is: 3,700,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,430 : 2,564,046 = 2,564,046 : x
  2. Step 2: Convert to fraction form
    1,776,430/2,564,046 = 2,564,046/x
  3. Step 3: Cross multiply
    1,776,430x = 2,564,046 × 2,564,046
  4. Step 4: Simplify right side
    1,776,430x = 6,574,331,890,116
  5. Step 5: Solve for x
    x = 6,574,331,890,116/1,776,430
  6. Step 6: Final answer
    x = 3,700,867.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.