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Finding the Third Proportional to 460,335 and 1,004,308

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Solution

The third proportional to 460,335 and 1,004,308 is: 2,191,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,335 : 1,004,308 = 1,004,308 : x
  2. Step 2: Convert to fraction form
    460,335/1,004,308 = 1,004,308/x
  3. Step 3: Cross multiply
    460,335x = 1,004,308 × 1,004,308
  4. Step 4: Simplify right side
    460,335x = 1,008,634,558,864
  5. Step 5: Solve for x
    x = 1,008,634,558,864/460,335
  6. Step 6: Final answer
    x = 2,191,088.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.