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Finding the Third Proportional to 702,106 and 1,059,363

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Solution

The third proportional to 702,106 and 1,059,363 is: 1,598,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,106 : 1,059,363 = 1,059,363 : x
  2. Step 2: Convert to fraction form
    702,106/1,059,363 = 1,059,363/x
  3. Step 3: Cross multiply
    702,106x = 1,059,363 × 1,059,363
  4. Step 4: Simplify right side
    702,106x = 1,122,249,965,769
  5. Step 5: Solve for x
    x = 1,122,249,965,769/702,106
  6. Step 6: Final answer
    x = 1,598,405.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.