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Finding the Third Proportional to 705,458 and 1,064,547

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Solution

The third proportional to 705,458 and 1,064,547 is: 1,606,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,458 : 1,064,547 = 1,064,547 : x
  2. Step 2: Convert to fraction form
    705,458/1,064,547 = 1,064,547/x
  3. Step 3: Cross multiply
    705,458x = 1,064,547 × 1,064,547
  4. Step 4: Simplify right side
    705,458x = 1,133,260,315,209
  5. Step 5: Solve for x
    x = 1,133,260,315,209/705,458
  6. Step 6: Final answer
    x = 1,606,417.84

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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.