Finding the Third Proportional to 462,854 and 1,014,484
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Solution
The third proportional to 462,854 and 1,014,484 is: 2,223,547.35
Step by Step Solution
- Step 1: Write the proportion equation
462,854 : 1,014,484 = 1,014,484 : x - Step 2: Convert to fraction form
462,854/1,014,484 = 1,014,484/x - Step 3: Cross multiply
462,854x = 1,014,484 × 1,014,484 - Step 4: Simplify right side
462,854x = 1,029,177,786,256 - Step 5: Solve for x
x = 1,029,177,786,256/462,854 - Step 6: Final answer
x = 2,223,547.35
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.