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Finding the Third Proportional to 660,444 and 1,020,432

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Solution

The third proportional to 660,444 and 1,020,432 is: 1,576,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,444 : 1,020,432 = 1,020,432 : x
  2. Step 2: Convert to fraction form
    660,444/1,020,432 = 1,020,432/x
  3. Step 3: Cross multiply
    660,444x = 1,020,432 × 1,020,432
  4. Step 4: Simplify right side
    660,444x = 1,041,281,466,624
  5. Step 5: Solve for x
    x = 1,041,281,466,624/660,444
  6. Step 6: Final answer
    x = 1,576,638.54

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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.