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Finding the Third Proportional to 669,726 and 1,020,312

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Solution

The third proportional to 669,726 and 1,020,312 is: 1,554,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,726 : 1,020,312 = 1,020,312 : x
  2. Step 2: Convert to fraction form
    669,726/1,020,312 = 1,020,312/x
  3. Step 3: Cross multiply
    669,726x = 1,020,312 × 1,020,312
  4. Step 4: Simplify right side
    669,726x = 1,041,036,577,344
  5. Step 5: Solve for x
    x = 1,041,036,577,344/669,726
  6. Step 6: Final answer
    x = 1,554,421.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.