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Finding the Third Proportional to 710,352 and 1,486,368

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Solution

The third proportional to 710,352 and 1,486,368 is: 3,110,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,352 : 1,486,368 = 1,486,368 : x
  2. Step 2: Convert to fraction form
    710,352/1,486,368 = 1,486,368/x
  3. Step 3: Cross multiply
    710,352x = 1,486,368 × 1,486,368
  4. Step 4: Simplify right side
    710,352x = 2,209,289,831,424
  5. Step 5: Solve for x
    x = 2,209,289,831,424/710,352
  6. Step 6: Final answer
    x = 3,110,133.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.