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Finding the Third Proportional to 898,428 and 1,358,364

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Solution

The third proportional to 898,428 and 1,358,364 is: 2,053,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,428 : 1,358,364 = 1,358,364 : x
  2. Step 2: Convert to fraction form
    898,428/1,358,364 = 1,358,364/x
  3. Step 3: Cross multiply
    898,428x = 1,358,364 × 1,358,364
  4. Step 4: Simplify right side
    898,428x = 1,845,152,756,496
  5. Step 5: Solve for x
    x = 1,845,152,756,496/898,428
  6. Step 6: Final answer
    x = 2,053,756.96

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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.