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Finding the Third Proportional to 830,594 and 1,776,358

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Solution

The third proportional to 830,594 and 1,776,358 is: 3,799,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,594 : 1,776,358 = 1,776,358 : x
  2. Step 2: Convert to fraction form
    830,594/1,776,358 = 1,776,358/x
  3. Step 3: Cross multiply
    830,594x = 1,776,358 × 1,776,358
  4. Step 4: Simplify right side
    830,594x = 3,155,447,744,164
  5. Step 5: Solve for x
    x = 3,155,447,744,164/830,594
  6. Step 6: Final answer
    x = 3,799,025.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.