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Finding the Third Proportional to 781,293 and 1,658,547

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Solution

The third proportional to 781,293 and 1,658,547 is: 3,520,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,293 : 1,658,547 = 1,658,547 : x
  2. Step 2: Convert to fraction form
    781,293/1,658,547 = 1,658,547/x
  3. Step 3: Cross multiply
    781,293x = 1,658,547 × 1,658,547
  4. Step 4: Simplify right side
    781,293x = 2,750,778,151,209
  5. Step 5: Solve for x
    x = 2,750,778,151,209/781,293
  6. Step 6: Final answer
    x = 3,520,802.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.