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Finding the Third Proportional to 974,898 and 1,506,598

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Solution

The third proportional to 974,898 and 1,506,598 is: 2,328,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,898 : 1,506,598 = 1,506,598 : x
  2. Step 2: Convert to fraction form
    974,898/1,506,598 = 1,506,598/x
  3. Step 3: Cross multiply
    974,898x = 1,506,598 × 1,506,598
  4. Step 4: Simplify right side
    974,898x = 2,269,837,533,604
  5. Step 5: Solve for x
    x = 2,269,837,533,604/974,898
  6. Step 6: Final answer
    x = 2,328,282.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.