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Finding the Third Proportional to 1,064,302 and 1,565,268

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Solution

The third proportional to 1,064,302 and 1,565,268 is: 2,302,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,302 : 1,565,268 = 1,565,268 : x
  2. Step 2: Convert to fraction form
    1,064,302/1,565,268 = 1,565,268/x
  3. Step 3: Cross multiply
    1,064,302x = 1,565,268 × 1,565,268
  4. Step 4: Simplify right side
    1,064,302x = 2,450,063,911,824
  5. Step 5: Solve for x
    x = 2,450,063,911,824/1,064,302
  6. Step 6: Final answer
    x = 2,302,038.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.