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Finding the Third Proportional to 654,798 and 1,009,224

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Solution

The third proportional to 654,798 and 1,009,224 is: 1,555,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,798 : 1,009,224 = 1,009,224 : x
  2. Step 2: Convert to fraction form
    654,798/1,009,224 = 1,009,224/x
  3. Step 3: Cross multiply
    654,798x = 1,009,224 × 1,009,224
  4. Step 4: Simplify right side
    654,798x = 1,018,533,082,176
  5. Step 5: Solve for x
    x = 1,018,533,082,176/654,798
  6. Step 6: Final answer
    x = 1,555,492.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.