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Finding the Third Proportional to 651,668 and 1,009,032

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Solution

The third proportional to 651,668 and 1,009,032 is: 1,562,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,668 : 1,009,032 = 1,009,032 : x
  2. Step 2: Convert to fraction form
    651,668/1,009,032 = 1,009,032/x
  3. Step 3: Cross multiply
    651,668x = 1,009,032 × 1,009,032
  4. Step 4: Simplify right side
    651,668x = 1,018,145,577,024
  5. Step 5: Solve for x
    x = 1,018,145,577,024/651,668
  6. Step 6: Final answer
    x = 1,562,368.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.