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Finding the Third Proportional to 1,977,000 and 4,316,547

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Solution

The third proportional to 1,977,000 and 4,316,547 is: 9,424,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,000 : 4,316,547 = 4,316,547 : x
  2. Step 2: Convert to fraction form
    1,977,000/4,316,547 = 4,316,547/x
  3. Step 3: Cross multiply
    1,977,000x = 4,316,547 × 4,316,547
  4. Step 4: Simplify right side
    1,977,000x = 18,632,578,003,209
  5. Step 5: Solve for x
    x = 18,632,578,003,209/1,977,000
  6. Step 6: Final answer
    x = 9,424,672.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.