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Finding the Third Proportional to 560,142 and 1,209,222

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Solution

The third proportional to 560,142 and 1,209,222 is: 2,610,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,142 : 1,209,222 = 1,209,222 : x
  2. Step 2: Convert to fraction form
    560,142/1,209,222 = 1,209,222/x
  3. Step 3: Cross multiply
    560,142x = 1,209,222 × 1,209,222
  4. Step 4: Simplify right side
    560,142x = 1,462,217,845,284
  5. Step 5: Solve for x
    x = 1,462,217,845,284/560,142
  6. Step 6: Final answer
    x = 2,610,441.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.