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Finding the Third Proportional to 946,060 and 1,506,097

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Solution

The third proportional to 946,060 and 1,506,097 is: 2,397,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,060 : 1,506,097 = 1,506,097 : x
  2. Step 2: Convert to fraction form
    946,060/1,506,097 = 1,506,097/x
  3. Step 3: Cross multiply
    946,060x = 1,506,097 × 1,506,097
  4. Step 4: Simplify right side
    946,060x = 2,268,328,173,409
  5. Step 5: Solve for x
    x = 2,268,328,173,409/946,060
  6. Step 6: Final answer
    x = 2,397,657.84

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Why These Related Problems?

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