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Finding the Third Proportional to 946,058 and 1,506,094

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Solution

The third proportional to 946,058 and 1,506,094 is: 2,397,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,058 : 1,506,094 = 1,506,094 : x
  2. Step 2: Convert to fraction form
    946,058/1,506,094 = 1,506,094/x
  3. Step 3: Cross multiply
    946,058x = 1,506,094 × 1,506,094
  4. Step 4: Simplify right side
    946,058x = 2,268,319,136,836
  5. Step 5: Solve for x
    x = 2,268,319,136,836/946,058
  6. Step 6: Final answer
    x = 2,397,653.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.