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Finding the Third Proportional to 706,383 and 1,026,751.50

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Solution

The third proportional to 706,383 and 1,026,751.50 is: 1,492,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,383 : 1,026,751.50 = 1,026,751.50 : x
  2. Step 2: Convert to fraction form
    706,383/1,026,751.50 = 1,026,751.50/x
  3. Step 3: Cross multiply
    706,383x = 1,026,751.50 × 1,026,751.50
  4. Step 4: Simplify right side
    706,383x = 1,054,218,642,752.25
  5. Step 5: Solve for x
    x = 1,054,218,642,752.25/706,383
  6. Step 6: Final answer
    x = 1,492,417.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.