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Finding the Third Proportional to 459,402 and 974,460

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Solution

The third proportional to 459,402 and 974,460 is: 2,066,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,402 : 974,460 = 974,460 : x
  2. Step 2: Convert to fraction form
    459,402/974,460 = 974,460/x
  3. Step 3: Cross multiply
    459,402x = 974,460 × 974,460
  4. Step 4: Simplify right side
    459,402x = 949,572,291,600
  5. Step 5: Solve for x
    x = 949,572,291,600/459,402
  6. Step 6: Final answer
    x = 2,066,974.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.