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Finding the Third Proportional to 1,030,117 and 1,569,164

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Solution

The third proportional to 1,030,117 and 1,569,164 is: 2,390,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,117 : 1,569,164 = 1,569,164 : x
  2. Step 2: Convert to fraction form
    1,030,117/1,569,164 = 1,569,164/x
  3. Step 3: Cross multiply
    1,030,117x = 1,569,164 × 1,569,164
  4. Step 4: Simplify right side
    1,030,117x = 2,462,275,658,896
  5. Step 5: Solve for x
    x = 2,462,275,658,896/1,030,117
  6. Step 6: Final answer
    x = 2,390,287.37

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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.